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Finding the Third Proportional to 107,993 and 220,302

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Solution

The third proportional to 107,993 and 220,302 is: 449,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,993 : 220,302 = 220,302 : x
  2. Step 2: Convert to fraction form
    107,993/220,302 = 220,302/x
  3. Step 3: Cross multiply
    107,993x = 220,302 × 220,302
  4. Step 4: Simplify right side
    107,993x = 48,532,971,204
  5. Step 5: Solve for x
    x = 48,532,971,204/107,993
  6. Step 6: Final answer
    x = 449,408.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.