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Finding the Third Proportional to 43.17 and 92.11

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Solution

The third proportional to 43.17 and 92.11 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.17 : 92.11 = 92.11 : x
  2. Step 2: Convert to fraction form
    43.17/92.11 = 92.11/x
  3. Step 3: Cross multiply
    43.17x = 92.11 × 92.11
  4. Step 4: Simplify right side
    43.17x = 8,484.14
  5. Step 5: Solve for x
    x = 8,484.14/43.17
  6. Step 6: Final answer
    x = 196.52

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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.