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Finding the Third Proportional to 92.13 and 217

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Solution

The third proportional to 92.13 and 217 is: 511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.13 : 217 = 217 : x
  2. Step 2: Convert to fraction form
    92.13/217 = 217/x
  3. Step 3: Cross multiply
    92.13x = 217 × 217
  4. Step 4: Simplify right side
    92.13x = 47,089
  5. Step 5: Solve for x
    x = 47,089/92.13
  6. Step 6: Final answer
    x = 511.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.