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Finding the Third Proportional to 95,299 and 207,010

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Solution

The third proportional to 95,299 and 207,010 is: 449,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,299 : 207,010 = 207,010 : x
  2. Step 2: Convert to fraction form
    95,299/207,010 = 207,010/x
  3. Step 3: Cross multiply
    95,299x = 207,010 × 207,010
  4. Step 4: Simplify right side
    95,299x = 42,853,140,100
  5. Step 5: Solve for x
    x = 42,853,140,100/95,299
  6. Step 6: Final answer
    x = 449,670.41

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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.