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Finding the Third Proportional to 95,393 and 207,189

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Solution

The third proportional to 95,393 and 207,189 is: 450,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,393 : 207,189 = 207,189 : x
  2. Step 2: Convert to fraction form
    95,393/207,189 = 207,189/x
  3. Step 3: Cross multiply
    95,393x = 207,189 × 207,189
  4. Step 4: Simplify right side
    95,393x = 42,927,281,721
  5. Step 5: Solve for x
    x = 42,927,281,721/95,393
  6. Step 6: Final answer
    x = 450,004.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.