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Finding the Third Proportional to 96,403.69 and 207,610.13

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Solution

The third proportional to 96,403.69 and 207,610.13 is: 447,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,403.69 : 207,610.13 = 207,610.13 : x
  2. Step 2: Convert to fraction form
    96,403.69/207,610.13 = 207,610.13/x
  3. Step 3: Cross multiply
    96,403.69x = 207,610.13 × 207,610.13
  4. Step 4: Simplify right side
    96,403.69x = 43,101,964,002.52
  5. Step 5: Solve for x
    x = 43,101,964,002.52/96,403.69
  6. Step 6: Final answer
    x = 447,098.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.