Finding the Third Proportional to 106,369,049 and 232,916,251
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Solution
The third proportional to 106,369,049 and 232,916,251 is: 510,016,593.08
Step by Step Solution
- Step 1: Write the proportion equation
106,369,049 : 232,916,251 = 232,916,251 : x - Step 2: Convert to fraction form
106,369,049/232,916,251 = 232,916,251/x - Step 3: Cross multiply
106,369,049x = 232,916,251 × 232,916,251 - Step 4: Simplify right side
106,369,049x = 54,249,979,979,895,000 - Step 5: Solve for x
x = 54,249,979,979,895,000/106,369,049 - Step 6: Final answer
x = 510,016,593.08
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.