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Finding the Third Proportional to 87,331.50 and 190,657.13

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Solution

The third proportional to 87,331.50 and 190,657.13 is: 416,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,331.50 : 190,657.13 = 190,657.13 : x
  2. Step 2: Convert to fraction form
    87,331.50/190,657.13 = 190,657.13/x
  3. Step 3: Cross multiply
    87,331.50x = 190,657.13 × 190,657.13
  4. Step 4: Simplify right side
    87,331.50x = 36,350,139,313.27
  5. Step 5: Solve for x
    x = 36,350,139,313.27/87,331.50
  6. Step 6: Final answer
    x = 416,231.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.