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Finding the Third Proportional to 103,085 and 218,806

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Solution

The third proportional to 103,085 and 218,806 is: 464,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,085 : 218,806 = 218,806 : x
  2. Step 2: Convert to fraction form
    103,085/218,806 = 218,806/x
  3. Step 3: Cross multiply
    103,085x = 218,806 × 218,806
  4. Step 4: Simplify right side
    103,085x = 47,876,065,636
  5. Step 5: Solve for x
    x = 47,876,065,636/103,085
  6. Step 6: Final answer
    x = 464,432.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.