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Finding the Third Proportional to 87,346.13 and 194,374.13

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Solution

The third proportional to 87,346.13 and 194,374.13 is: 432,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,346.13 : 194,374.13 = 194,374.13 : x
  2. Step 2: Convert to fraction form
    87,346.13/194,374.13 = 194,374.13/x
  3. Step 3: Cross multiply
    87,346.13x = 194,374.13 × 194,374.13
  4. Step 4: Simplify right side
    87,346.13x = 37,781,300,469.52
  5. Step 5: Solve for x
    x = 37,781,300,469.52/87,346.13
  6. Step 6: Final answer
    x = 432,546.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.