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Finding the Third Proportional to 87,332.44 and 187,115.06

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Solution

The third proportional to 87,332.44 and 187,115.06 is: 400,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,332.44 : 187,115.06 = 187,115.06 : x
  2. Step 2: Convert to fraction form
    87,332.44/187,115.06 = 187,115.06/x
  3. Step 3: Cross multiply
    87,332.44x = 187,115.06 × 187,115.06
  4. Step 4: Simplify right side
    87,332.44x = 35,012,046,614.38
  5. Step 5: Solve for x
    x = 35,012,046,614.38/87,332.44
  6. Step 6: Final answer
    x = 400,905.41

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Why These Related Problems?

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