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Finding the Third Proportional to 96,796.69 and 227,737.13

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Solution

The third proportional to 96,796.69 and 227,737.13 is: 535,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,796.69 : 227,737.13 = 227,737.13 : x
  2. Step 2: Convert to fraction form
    96,796.69/227,737.13 = 227,737.13/x
  3. Step 3: Cross multiply
    96,796.69x = 227,737.13 × 227,737.13
  4. Step 4: Simplify right side
    96,796.69x = 51,864,198,103.27
  5. Step 5: Solve for x
    x = 51,864,198,103.27/96,796.69
  6. Step 6: Final answer
    x = 535,805.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.