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Finding the Third Proportional to 101,444 and 218,504

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Solution

The third proportional to 101,444 and 218,504 is: 470,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,444 : 218,504 = 218,504 : x
  2. Step 2: Convert to fraction form
    101,444/218,504 = 218,504/x
  3. Step 3: Cross multiply
    101,444x = 218,504 × 218,504
  4. Step 4: Simplify right side
    101,444x = 47,743,998,016
  5. Step 5: Solve for x
    x = 47,743,998,016/101,444
  6. Step 6: Final answer
    x = 470,643.88

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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.