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Finding the Third Proportional to 100,213.50 and 217,527

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Solution

The third proportional to 100,213.50 and 217,527 is: 472,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.50 : 217,527 = 217,527 : x
  2. Step 2: Convert to fraction form
    100,213.50/217,527 = 217,527/x
  3. Step 3: Cross multiply
    100,213.50x = 217,527 × 217,527
  4. Step 4: Simplify right side
    100,213.50x = 47,317,995,729
  5. Step 5: Solve for x
    x = 47,317,995,729/100,213.50
  6. Step 6: Final answer
    x = 472,171.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.