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Finding the Third Proportional to 95,627 and 202,198

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Solution

The third proportional to 95,627 and 202,198 is: 427,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,627 : 202,198 = 202,198 : x
  2. Step 2: Convert to fraction form
    95,627/202,198 = 202,198/x
  3. Step 3: Cross multiply
    95,627x = 202,198 × 202,198
  4. Step 4: Simplify right side
    95,627x = 40,884,031,204
  5. Step 5: Solve for x
    x = 40,884,031,204/95,627
  6. Step 6: Final answer
    x = 427,536.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.