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Finding the Third Proportional to 100,239 and 217,965

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Solution

The third proportional to 100,239 and 217,965 is: 473,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,239 : 217,965 = 217,965 : x
  2. Step 2: Convert to fraction form
    100,239/217,965 = 217,965/x
  3. Step 3: Cross multiply
    100,239x = 217,965 × 217,965
  4. Step 4: Simplify right side
    100,239x = 47,508,741,225
  5. Step 5: Solve for x
    x = 47,508,741,225/100,239
  6. Step 6: Final answer
    x = 473,954.66

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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.