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Finding the Third Proportional to 95,311.50 and 206,314

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Solution

The third proportional to 95,311.50 and 206,314 is: 446,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,311.50 : 206,314 = 206,314 : x
  2. Step 2: Convert to fraction form
    95,311.50/206,314 = 206,314/x
  3. Step 3: Cross multiply
    95,311.50x = 206,314 × 206,314
  4. Step 4: Simplify right side
    95,311.50x = 42,565,466,596
  5. Step 5: Solve for x
    x = 42,565,466,596/95,311.50
  6. Step 6: Final answer
    x = 446,593.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.