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Finding the Third Proportional to 95,268 and 204,897

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Solution

The third proportional to 95,268 and 204,897 is: 440,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,268 : 204,897 = 204,897 : x
  2. Step 2: Convert to fraction form
    95,268/204,897 = 204,897/x
  3. Step 3: Cross multiply
    95,268x = 204,897 × 204,897
  4. Step 4: Simplify right side
    95,268x = 41,982,780,609
  5. Step 5: Solve for x
    x = 41,982,780,609/95,268
  6. Step 6: Final answer
    x = 440,680.82

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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.