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Finding the Third Proportional to 90,218 and 193,876

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Solution

The third proportional to 90,218 and 193,876 is: 416,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,218 : 193,876 = 193,876 : x
  2. Step 2: Convert to fraction form
    90,218/193,876 = 193,876/x
  3. Step 3: Cross multiply
    90,218x = 193,876 × 193,876
  4. Step 4: Simplify right side
    90,218x = 37,587,903,376
  5. Step 5: Solve for x
    x = 37,587,903,376/90,218
  6. Step 6: Final answer
    x = 416,634.19

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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.