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Finding the Third Proportional to 83.06 and 195.56

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Solution

The third proportional to 83.06 and 195.56 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 195.56 = 195.56 : x
  2. Step 2: Convert to fraction form
    83.06/195.56 = 195.56/x
  3. Step 3: Cross multiply
    83.06x = 195.56 × 195.56
  4. Step 4: Simplify right side
    83.06x = 38,244.69
  5. Step 5: Solve for x
    x = 38,244.69/83.06
  6. Step 6: Final answer
    x = 460.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.