Finding the Third Proportional to 47,759,472.38 and 102,330,106.13
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Solution
The third proportional to 47,759,472.38 and 102,330,106.13 is: 219,253,900.82
Step by Step Solution
- Step 1: Write the proportion equation
47,759,472.38 : 102,330,106.13 = 102,330,106.13 : x - Step 2: Convert to fraction form
47,759,472.38/102,330,106.13 = 102,330,106.13/x - Step 3: Cross multiply
47,759,472.38x = 102,330,106.13 × 102,330,106.13 - Step 4: Simplify right side
47,759,472.38x = 10,471,450,619,553,762 - Step 5: Solve for x
x = 10,471,450,619,553,762/47,759,472.38 - Step 6: Final answer
x = 219,253,900.82
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.