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Finding the Third Proportional to 87,715.13 and 192,211.31

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Solution

The third proportional to 87,715.13 and 192,211.31 is: 421,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,715.13 : 192,211.31 = 192,211.31 : x
  2. Step 2: Convert to fraction form
    87,715.13/192,211.31 = 192,211.31/x
  3. Step 3: Cross multiply
    87,715.13x = 192,211.31 × 192,211.31
  4. Step 4: Simplify right side
    87,715.13x = 36,945,188,652.97
  5. Step 5: Solve for x
    x = 36,945,188,652.97/87,715.13
  6. Step 6: Final answer
    x = 421,195.19

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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.