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Finding the Third Proportional to 87,781.50 and 207,091.13

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Solution

The third proportional to 87,781.50 and 207,091.13 is: 488,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,781.50 : 207,091.13 = 207,091.13 : x
  2. Step 2: Convert to fraction form
    87,781.50/207,091.13 = 207,091.13/x
  3. Step 3: Cross multiply
    87,781.50x = 207,091.13 × 207,091.13
  4. Step 4: Simplify right side
    87,781.50x = 42,886,734,053.77
  5. Step 5: Solve for x
    x = 42,886,734,053.77/87,781.50
  6. Step 6: Final answer
    x = 488,562.33

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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.