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Finding the Third Proportional to 87,191,408 and 205,534,472

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Solution

The third proportional to 87,191,408 and 205,534,472 is: 484,502,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,191,408 : 205,534,472 = 205,534,472 : x
  2. Step 2: Convert to fraction form
    87,191,408/205,534,472 = 205,534,472/x
  3. Step 3: Cross multiply
    87,191,408x = 205,534,472 × 205,534,472
  4. Step 4: Simplify right side
    87,191,408x = 42,244,419,180,318,784
  5. Step 5: Solve for x
    x = 42,244,419,180,318,784/87,191,408
  6. Step 6: Final answer
    x = 484,502,087.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.