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Finding the Third Proportional to 95,921 and 195,650

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Solution

The third proportional to 95,921 and 195,650 is: 399,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,921 : 195,650 = 195,650 : x
  2. Step 2: Convert to fraction form
    95,921/195,650 = 195,650/x
  3. Step 3: Cross multiply
    95,921x = 195,650 × 195,650
  4. Step 4: Simplify right side
    95,921x = 38,278,922,500
  5. Step 5: Solve for x
    x = 38,278,922,500/95,921
  6. Step 6: Final answer
    x = 399,067.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.