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Finding the Third Proportional to 100,595 and 218,496

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Solution

The third proportional to 100,595 and 218,496 is: 474,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595 : 218,496 = 218,496 : x
  2. Step 2: Convert to fraction form
    100,595/218,496 = 218,496/x
  3. Step 3: Cross multiply
    100,595x = 218,496 × 218,496
  4. Step 4: Simplify right side
    100,595x = 47,740,502,016
  5. Step 5: Solve for x
    x = 47,740,502,016/100,595
  6. Step 6: Final answer
    x = 474,581.26

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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.