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Finding the Third Proportional to 51.05 and 99.46

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Solution

The third proportional to 51.05 and 99.46 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 99.46 = 99.46 : x
  2. Step 2: Convert to fraction form
    51.05/99.46 = 99.46/x
  3. Step 3: Cross multiply
    51.05x = 99.46 × 99.46
  4. Step 4: Simplify right side
    51.05x = 9,891.70
  5. Step 5: Solve for x
    x = 9,891.70/51.05
  6. Step 6: Final answer
    x = 193.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.