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Finding the Third Proportional to 101,849 and 219,302

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Solution

The third proportional to 101,849 and 219,302 is: 472,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,849 : 219,302 = 219,302 : x
  2. Step 2: Convert to fraction form
    101,849/219,302 = 219,302/x
  3. Step 3: Cross multiply
    101,849x = 219,302 × 219,302
  4. Step 4: Simplify right side
    101,849x = 48,093,367,204
  5. Step 5: Solve for x
    x = 48,093,367,204/101,849
  6. Step 6: Final answer
    x = 472,202.65

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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.