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Finding the Third Proportional to 100,467 and 218,268

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Solution

The third proportional to 100,467 and 218,268 is: 474,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467 : 218,268 = 218,268 : x
  2. Step 2: Convert to fraction form
    100,467/218,268 = 218,268/x
  3. Step 3: Cross multiply
    100,467x = 218,268 × 218,268
  4. Step 4: Simplify right side
    100,467x = 47,640,919,824
  5. Step 5: Solve for x
    x = 47,640,919,824/100,467
  6. Step 6: Final answer
    x = 474,194.71

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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.