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Finding the Third Proportional to 95,395 and 207,193

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Solution

The third proportional to 95,395 and 207,193 is: 450,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,395 : 207,193 = 207,193 : x
  2. Step 2: Convert to fraction form
    95,395/207,193 = 207,193/x
  3. Step 3: Cross multiply
    95,395x = 207,193 × 207,193
  4. Step 4: Simplify right side
    95,395x = 42,928,939,249
  5. Step 5: Solve for x
    x = 42,928,939,249/95,395
  6. Step 6: Final answer
    x = 450,012.47

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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.