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Finding the Third Proportional to 101,448 and 218,016

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Solution

The third proportional to 101,448 and 218,016 is: 468,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,448 : 218,016 = 218,016 : x
  2. Step 2: Convert to fraction form
    101,448/218,016 = 218,016/x
  3. Step 3: Cross multiply
    101,448x = 218,016 × 218,016
  4. Step 4: Simplify right side
    101,448x = 47,530,976,256
  5. Step 5: Solve for x
    x = 47,530,976,256/101,448
  6. Step 6: Final answer
    x = 468,525.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.