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Finding the Third Proportional to 101.46 and 216.21

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Solution

The third proportional to 101.46 and 216.21 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 216.21 = 216.21 : x
  2. Step 2: Convert to fraction form
    101.46/216.21 = 216.21/x
  3. Step 3: Cross multiply
    101.46x = 216.21 × 216.21
  4. Step 4: Simplify right side
    101.46x = 46,747.17
  5. Step 5: Solve for x
    x = 46,747.17/101.46
  6. Step 6: Final answer
    x = 460.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.