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Finding the Third Proportional to 89,221.50 and 187,201.13

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Solution

The third proportional to 89,221.50 and 187,201.13 is: 392,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,221.50 : 187,201.13 = 187,201.13 : x
  2. Step 2: Convert to fraction form
    89,221.50/187,201.13 = 187,201.13/x
  3. Step 3: Cross multiply
    89,221.50x = 187,201.13 × 187,201.13
  4. Step 4: Simplify right side
    89,221.50x = 35,044,261,201.27
  5. Step 5: Solve for x
    x = 35,044,261,201.27/89,221.50
  6. Step 6: Final answer
    x = 392,778.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.