What will come in place of both question mark (?) in the following equation ?
`(22.09)/(?) = (?)/(7.84)`

Options

A. 14.16
B. 14.14
C. 13.16
D. 12.16

Answer

To solve the equation \( \frac{22.09}{?} = \frac {?}{7.84} \), we can follow these steps:

### Step 1: Set up the equation
Let \( x \) be the value that replaces both question marks. The equation can be rewritten as:
\[ \frac{22.09}{x} = \frac{x}{7.84} \]

### Step 2: Cross-multiply
To eliminate the fractions, we can cross-multiply:
\[ 22.09 \cdot 7.84 = x \cdot x \]
This simplifies to:
\[ x^2 = 22.09 \cdot 7.84 \]

### Step 3: Calculate the product
Now we need to calculate \( 22.09 \cdot 7.84 \):
\[ 22.09 \cdot 7.84 = 172.6656 \]

### Step 4: Take the square root
Next, we find \( x \) by taking the square root of \( 172.6656 \):
\[ x = \sqrt{172.6656} \]

### Step 5: Calculate the square root
Calculating the square root gives us:
\[ x \approx 13.14 \]

### Conclusion
Thus, the value that comes in place of both question marks is approximately \( 13.14 \).

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