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Finding the Third Proportional to 100.97 and 221.13

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Solution

The third proportional to 100.97 and 221.13 is: 484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.97 : 221.13 = 221.13 : x
  2. Step 2: Convert to fraction form
    100.97/221.13 = 221.13/x
  3. Step 3: Cross multiply
    100.97x = 221.13 × 221.13
  4. Step 4: Simplify right side
    100.97x = 48,896.27
  5. Step 5: Solve for x
    x = 48,896.27/100.97
  6. Step 6: Final answer
    x = 484.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.