What should come in place of the question mark (?) in the following questions ?
`8.88 x 88.8 x 88 = ?

Options

A. 68301.142
B. 79391.642
C. 65365.824
D. None of these

Answer

To solve the problem \( 8.88 \times 88.8 \times 88 = ? \), we can follow these steps:

### Step 1: Simplify the multiplication
First, let's express the numbers in a simpler form. We can rewrite \( 8.88 \) and \( 88.8 \) as fractions:
- \( 8.88 = \frac{888}{100} \)
- \( 88.8 = \frac{888}{10} \)

Now we can rewrite the expression:
\[ 8.88 \times 88.8 \times 88 = \left(\frac{888}{100}\right) \times \left(\frac{888}{10}\right) \times 88 \]

### Step 2: Combine the fractions
Now, we can combine the fractions:
\[ = \frac{888 \times 888 \times 88}{100 \times 10} \]
\[ = \frac{888 \times 888 \times 88}{1000} \]

### Step 3: Calculate \( 888 \times 888 \)
Next, we calculate \( 888 \times 888 \):
\[ 888 \times 888 = 788544 \]

### Step 4: Multiply by 88
Now, we multiply the result by 88:
\[ 788544 \times 88 \]

To calculate this, we can break it down:
\[ 788544 \times 88 = 788544 \times (80 + 8) = 788544 \times 80 + 788544 \times 8 \]
Calculating each part:
1. \( 788544 \times 80 = 63083520 \)
2. \( 788544 \times 8 = 6308352 \)

Now, add both results:
\[ 63083520 + 6308352 = 69391872 \]

### Step 5: Divide by 1000
Finally, we divide by 1000:
\[ \frac{69391872}{1000} = 69391.872 \]

### Final Answer
Thus, the value of \( 8.88 \times 88.8 \times 88 \) is:
\[ \boxed{69391.872} \]

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