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Finding the Third Proportional to 96,150.38 and 149,266.13

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Solution

The third proportional to 96,150.38 and 149,266.13 is: 231,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,150.38 : 149,266.13 = 149,266.13 : x
  2. Step 2: Convert to fraction form
    96,150.38/149,266.13 = 149,266.13/x
  3. Step 3: Cross multiply
    96,150.38x = 149,266.13 × 149,266.13
  4. Step 4: Simplify right side
    96,150.38x = 22,280,376,072.52
  5. Step 5: Solve for x
    x = 22,280,376,072.52/96,150.38
  6. Step 6: Final answer
    x = 231,724.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.