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Finding the Third Proportional to 83,940,059 and 181,531,507

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Solution

The third proportional to 83,940,059 and 181,531,507 is: 392,585,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,940,059 : 181,531,507 = 181,531,507 : x
  2. Step 2: Convert to fraction form
    83,940,059/181,531,507 = 181,531,507/x
  3. Step 3: Cross multiply
    83,940,059x = 181,531,507 × 181,531,507
  4. Step 4: Simplify right side
    83,940,059x = 32,953,688,033,691,048
  5. Step 5: Solve for x
    x = 32,953,688,033,691,048/83,940,059
  6. Step 6: Final answer
    x = 392,585,952.72

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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.