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Finding the Third Proportional to 116.44 and 216.14

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Solution

The third proportional to 116.44 and 216.14 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.44 : 216.14 = 216.14 : x
  2. Step 2: Convert to fraction form
    116.44/216.14 = 216.14/x
  3. Step 3: Cross multiply
    116.44x = 216.14 × 216.14
  4. Step 4: Simplify right side
    116.44x = 46,716.77
  5. Step 5: Solve for x
    x = 46,716.77/116.44
  6. Step 6: Final answer
    x = 401.22

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.