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Finding the Third Proportional to 95,069 and 202,241

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Solution

The third proportional to 95,069 and 202,241 is: 430,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,069 : 202,241 = 202,241 : x
  2. Step 2: Convert to fraction form
    95,069/202,241 = 202,241/x
  3. Step 3: Cross multiply
    95,069x = 202,241 × 202,241
  4. Step 4: Simplify right side
    95,069x = 40,901,422,081
  5. Step 5: Solve for x
    x = 40,901,422,081/95,069
  6. Step 6: Final answer
    x = 430,228.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.