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Finding the Third Proportional to 100,149 and 217,416

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Solution

The third proportional to 100,149 and 217,416 is: 471,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,149 : 217,416 = 217,416 : x
  2. Step 2: Convert to fraction form
    100,149/217,416 = 217,416/x
  3. Step 3: Cross multiply
    100,149x = 217,416 × 217,416
  4. Step 4: Simplify right side
    100,149x = 47,269,717,056
  5. Step 5: Solve for x
    x = 47,269,717,056/100,149
  6. Step 6: Final answer
    x = 471,993.90

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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.