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Finding the Third Proportional to 95,067 and 206,688

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Solution

The third proportional to 95,067 and 206,688 is: 449,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,067 : 206,688 = 206,688 : x
  2. Step 2: Convert to fraction form
    95,067/206,688 = 206,688/x
  3. Step 3: Cross multiply
    95,067x = 206,688 × 206,688
  4. Step 4: Simplify right side
    95,067x = 42,719,929,344
  5. Step 5: Solve for x
    x = 42,719,929,344/95,067
  6. Step 6: Final answer
    x = 449,366.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.