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Finding the Third Proportional to 100,404 and 209,124

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Solution

The third proportional to 100,404 and 209,124 is: 435,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404 : 209,124 = 209,124 : x
  2. Step 2: Convert to fraction form
    100,404/209,124 = 209,124/x
  3. Step 3: Cross multiply
    100,404x = 209,124 × 209,124
  4. Step 4: Simplify right side
    100,404x = 43,732,847,376
  5. Step 5: Solve for x
    x = 43,732,847,376/100,404
  6. Step 6: Final answer
    x = 435,568.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.