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Finding the Third Proportional to 100,022 and 217,217

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Solution

The third proportional to 100,022 and 217,217 is: 471,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,022 : 217,217 = 217,217 : x
  2. Step 2: Convert to fraction form
    100,022/217,217 = 217,217/x
  3. Step 3: Cross multiply
    100,022x = 217,217 × 217,217
  4. Step 4: Simplify right side
    100,022x = 47,183,225,089
  5. Step 5: Solve for x
    x = 47,183,225,089/100,022
  6. Step 6: Final answer
    x = 471,728.47

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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.