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Finding the Third Proportional to 92,286.84 and 198,310.78

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Solution

The third proportional to 92,286.84 and 198,310.78 is: 426,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286.84 : 198,310.78 = 198,310.78 : x
  2. Step 2: Convert to fraction form
    92,286.84/198,310.78 = 198,310.78/x
  3. Step 3: Cross multiply
    92,286.84x = 198,310.78 × 198,310.78
  4. Step 4: Simplify right side
    92,286.84x = 39,327,165,959.99
  5. Step 5: Solve for x
    x = 39,327,165,959.99/92,286.84
  6. Step 6: Final answer
    x = 426,140.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.