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Finding the Third Proportional to 83 and 195.97

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Solution

The third proportional to 83 and 195.97 is: 462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 195.97 = 195.97 : x
  2. Step 2: Convert to fraction form
    83/195.97 = 195.97/x
  3. Step 3: Cross multiply
    83x = 195.97 × 195.97
  4. Step 4: Simplify right side
    83x = 38,403.75
  5. Step 5: Solve for x
    x = 38,403.75/83
  6. Step 6: Final answer
    x = 462.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.