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Finding the Third Proportional to 96,778.13 and 208,387.69

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Solution

The third proportional to 96,778.13 and 208,387.69 is: 448,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,778.13 : 208,387.69 = 208,387.69 : x
  2. Step 2: Convert to fraction form
    96,778.13/208,387.69 = 208,387.69/x
  3. Step 3: Cross multiply
    96,778.13x = 208,387.69 × 208,387.69
  4. Step 4: Simplify right side
    96,778.13x = 43,425,428,301.60
  5. Step 5: Solve for x
    x = 43,425,428,301.60/96,778.13
  6. Step 6: Final answer
    x = 448,711.20

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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.