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Finding the Third Proportional to 98,876 and 213,302

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Solution

The third proportional to 98,876 and 213,302 is: 460,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,876 : 213,302 = 213,302 : x
  2. Step 2: Convert to fraction form
    98,876/213,302 = 213,302/x
  3. Step 3: Cross multiply
    98,876x = 213,302 × 213,302
  4. Step 4: Simplify right side
    98,876x = 45,497,743,204
  5. Step 5: Solve for x
    x = 45,497,743,204/98,876
  6. Step 6: Final answer
    x = 460,149.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.