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Finding the Third Proportional to 83,940,057 and 181,531,503

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Solution

The third proportional to 83,940,057 and 181,531,503 is: 392,585,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,940,057 : 181,531,503 = 181,531,503 : x
  2. Step 2: Convert to fraction form
    83,940,057/181,531,503 = 181,531,503/x
  3. Step 3: Cross multiply
    83,940,057x = 181,531,503 × 181,531,503
  4. Step 4: Simplify right side
    83,940,057x = 32,953,686,581,439,008
  5. Step 5: Solve for x
    x = 32,953,686,581,439,008/83,940,057
  6. Step 6: Final answer
    x = 392,585,944.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.