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Finding the Third Proportional to 82.88 and 195.88

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Solution

The third proportional to 82.88 and 195.88 is: 462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.88 : 195.88 = 195.88 : x
  2. Step 2: Convert to fraction form
    82.88/195.88 = 195.88/x
  3. Step 3: Cross multiply
    82.88x = 195.88 × 195.88
  4. Step 4: Simplify right side
    82.88x = 38,367.02
  5. Step 5: Solve for x
    x = 38,367.02/82.88
  6. Step 6: Final answer
    x = 462.95

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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.