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Finding the Third Proportional to 96,387.47 and 150,732.14

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Solution

The third proportional to 96,387.47 and 150,732.14 is: 235,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,387.47 : 150,732.14 = 150,732.14 : x
  2. Step 2: Convert to fraction form
    96,387.47/150,732.14 = 150,732.14/x
  3. Step 3: Cross multiply
    96,387.47x = 150,732.14 × 150,732.14
  4. Step 4: Simplify right side
    96,387.47x = 22,720,178,217.39
  5. Step 5: Solve for x
    x = 22,720,178,217.39/96,387.47
  6. Step 6: Final answer
    x = 235,717.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.