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Finding the Third Proportional to 62,181,642.09 and 133,098,174.84

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Solution

The third proportional to 62,181,642.09 and 133,098,174.84 is: 284,893,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,181,642.09 : 133,098,174.84 = 133,098,174.84 : x
  2. Step 2: Convert to fraction form
    62,181,642.09/133,098,174.84 = 133,098,174.84/x
  3. Step 3: Cross multiply
    62,181,642.09x = 133,098,174.84 × 133,098,174.84
  4. Step 4: Simplify right side
    62,181,642.09x = 17,715,124,146,737,446
  5. Step 5: Solve for x
    x = 17,715,124,146,737,446/62,181,642.09
  6. Step 6: Final answer
    x = 284,893,154.16

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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.