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Finding the Third Proportional to 95,290 and 207,188

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Solution

The third proportional to 95,290 and 207,188 is: 450,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,290 : 207,188 = 207,188 : x
  2. Step 2: Convert to fraction form
    95,290/207,188 = 207,188/x
  3. Step 3: Cross multiply
    95,290x = 207,188 × 207,188
  4. Step 4: Simplify right side
    95,290x = 42,926,867,344
  5. Step 5: Solve for x
    x = 42,926,867,344/95,290
  6. Step 6: Final answer
    x = 450,486.59

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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.