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Finding the Third Proportional to 97,650 and 213,198

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Solution

The third proportional to 97,650 and 213,198 is: 465,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650 : 213,198 = 213,198 : x
  2. Step 2: Convert to fraction form
    97,650/213,198 = 213,198/x
  3. Step 3: Cross multiply
    97,650x = 213,198 × 213,198
  4. Step 4: Simplify right side
    97,650x = 45,453,387,204
  5. Step 5: Solve for x
    x = 45,453,387,204/97,650
  6. Step 6: Final answer
    x = 465,472.48

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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.