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Finding the Third Proportional to 95,967.75 and 206,514.75

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Solution

The third proportional to 95,967.75 and 206,514.75 is: 444,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967.75 : 206,514.75 = 206,514.75 : x
  2. Step 2: Convert to fraction form
    95,967.75/206,514.75 = 206,514.75/x
  3. Step 3: Cross multiply
    95,967.75x = 206,514.75 × 206,514.75
  4. Step 4: Simplify right side
    95,967.75x = 42,648,341,967.56
  5. Step 5: Solve for x
    x = 42,648,341,967.56/95,967.75
  6. Step 6: Final answer
    x = 444,402.85

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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.