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Finding the Third Proportional to 96,753.38 and 205,262.25

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Solution

The third proportional to 96,753.38 and 205,262.25 is: 435,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,753.38 : 205,262.25 = 205,262.25 : x
  2. Step 2: Convert to fraction form
    96,753.38/205,262.25 = 205,262.25/x
  3. Step 3: Cross multiply
    96,753.38x = 205,262.25 × 205,262.25
  4. Step 4: Simplify right side
    96,753.38x = 42,132,591,275.06
  5. Step 5: Solve for x
    x = 42,132,591,275.06/96,753.38
  6. Step 6: Final answer
    x = 435,463.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.