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Finding the Third Proportional to 100.29 and 216.60

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Solution

The third proportional to 100.29 and 216.60 is: 467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.29 : 216.60 = 216.60 : x
  2. Step 2: Convert to fraction form
    100.29/216.60 = 216.60/x
  3. Step 3: Cross multiply
    100.29x = 216.60 × 216.60
  4. Step 4: Simplify right side
    100.29x = 46,915.50
  5. Step 5: Solve for x
    x = 46,915.50/100.29
  6. Step 6: Final answer
    x = 467.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.