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Finding the Third Proportional to 100,493 and 218,482

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Solution

The third proportional to 100,493 and 218,482 is: 475,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493 : 218,482 = 218,482 : x
  2. Step 2: Convert to fraction form
    100,493/218,482 = 218,482/x
  3. Step 3: Cross multiply
    100,493x = 218,482 × 218,482
  4. Step 4: Simplify right side
    100,493x = 47,734,384,324
  5. Step 5: Solve for x
    x = 47,734,384,324/100,493
  6. Step 6: Final answer
    x = 475,002.08

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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.