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Finding the Third Proportional to 95,259.38 and 206,934.75

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Solution

The third proportional to 95,259.38 and 206,934.75 is: 449,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,259.38 : 206,934.75 = 206,934.75 : x
  2. Step 2: Convert to fraction form
    95,259.38/206,934.75 = 206,934.75/x
  3. Step 3: Cross multiply
    95,259.38x = 206,934.75 × 206,934.75
  4. Step 4: Simplify right side
    95,259.38x = 42,821,990,757.56
  5. Step 5: Solve for x
    x = 42,821,990,757.56/95,259.38
  6. Step 6: Final answer
    x = 449,530.46

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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.