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Finding the Third Proportional to 87,667.31 and 191,737.13

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Solution

The third proportional to 87,667.31 and 191,737.13 is: 419,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,667.31 : 191,737.13 = 191,737.13 : x
  2. Step 2: Convert to fraction form
    87,667.31/191,737.13 = 191,737.13/x
  3. Step 3: Cross multiply
    87,667.31x = 191,737.13 × 191,737.13
  4. Step 4: Simplify right side
    87,667.31x = 36,763,125,103.27
  5. Step 5: Solve for x
    x = 36,763,125,103.27/87,667.31
  6. Step 6: Final answer
    x = 419,348.15

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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.