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Finding the Third Proportional to 87,969.38 and 188,395.88

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Solution

The third proportional to 87,969.38 and 188,395.88 is: 403,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,969.38 : 188,395.88 = 188,395.88 : x
  2. Step 2: Convert to fraction form
    87,969.38/188,395.88 = 188,395.88/x
  3. Step 3: Cross multiply
    87,969.38x = 188,395.88 × 188,395.88
  4. Step 4: Simplify right side
    87,969.38x = 35,493,005,717.02
  5. Step 5: Solve for x
    x = 35,493,005,717.02/87,969.38
  6. Step 6: Final answer
    x = 403,470.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.