61.8 g of A combine with 80 g of B. 30.9 g of A combine with 106.5 g of C. B and C combine to form compound `CB_(2)`. Atomic weights of C and B are respectively 35.5 and 6.6. Show that the law of reciprocal proportions is obeyed.

Explanation

To demonstrate that the law of reciprocal proportions is obeyed in the given scenario, we will follow these steps:

### Step 1: Understand the Law of Reciprocal Proportions
The law states that if two different elements combine separately with a fixed mass of a third element, the ratio of the masses in which they combine with that fixed mass will be the same as the ratio of the masses in which those two elements combine with each other.

### Step 2: Determine the Mass Ratios of A with B and C
1. **Mass of A with B**:
- Given: 61.8 g of A combines with 80 g of B.
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