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Finding the Third Proportional to 95,600.25 and 206,167.75

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Solution

The third proportional to 95,600.25 and 206,167.75 is: 444,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,600.25 : 206,167.75 = 206,167.75 : x
  2. Step 2: Convert to fraction form
    95,600.25/206,167.75 = 206,167.75/x
  3. Step 3: Cross multiply
    95,600.25x = 206,167.75 × 206,167.75
  4. Step 4: Simplify right side
    95,600.25x = 42,505,141,140.06
  5. Step 5: Solve for x
    x = 42,505,141,140.06/95,600.25
  6. Step 6: Final answer
    x = 444,613.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.