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Finding the Third Proportional to 100.55 and 212.48

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Solution

The third proportional to 100.55 and 212.48 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.55 : 212.48 = 212.48 : x
  2. Step 2: Convert to fraction form
    100.55/212.48 = 212.48/x
  3. Step 3: Cross multiply
    100.55x = 212.48 × 212.48
  4. Step 4: Simplify right side
    100.55x = 45,149.61
  5. Step 5: Solve for x
    x = 45,149.61/100.55
  6. Step 6: Final answer
    x = 449.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.