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Finding the Third Proportional to 87,346.88 and 186,132.75

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Solution

The third proportional to 87,346.88 and 186,132.75 is: 396,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,346.88 : 186,132.75 = 186,132.75 : x
  2. Step 2: Convert to fraction form
    87,346.88/186,132.75 = 186,132.75/x
  3. Step 3: Cross multiply
    87,346.88x = 186,132.75 × 186,132.75
  4. Step 4: Simplify right side
    87,346.88x = 34,645,400,622.56
  5. Step 5: Solve for x
    x = 34,645,400,622.56/87,346.88
  6. Step 6: Final answer
    x = 396,641.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.