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Finding the Third Proportional to 97,891 and 213,757

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Solution

The third proportional to 97,891 and 213,757 is: 466,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,891 : 213,757 = 213,757 : x
  2. Step 2: Convert to fraction form
    97,891/213,757 = 213,757/x
  3. Step 3: Cross multiply
    97,891x = 213,757 × 213,757
  4. Step 4: Simplify right side
    97,891x = 45,692,055,049
  5. Step 5: Solve for x
    x = 45,692,055,049/97,891
  6. Step 6: Final answer
    x = 466,764.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.