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Finding the Third Proportional to 100.88 and 218.88

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Solution

The third proportional to 100.88 and 218.88 is: 474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.88 : 218.88 = 218.88 : x
  2. Step 2: Convert to fraction form
    100.88/218.88 = 218.88/x
  3. Step 3: Cross multiply
    100.88x = 218.88 × 218.88
  4. Step 4: Simplify right side
    100.88x = 47,906.27
  5. Step 5: Solve for x
    x = 47,906.27/100.88
  6. Step 6: Final answer
    x = 474.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.