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Finding the Third Proportional to 95,288 and 204,848

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Solution

The third proportional to 95,288 and 204,848 is: 440,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,288 : 204,848 = 204,848 : x
  2. Step 2: Convert to fraction form
    95,288/204,848 = 204,848/x
  3. Step 3: Cross multiply
    95,288x = 204,848 × 204,848
  4. Step 4: Simplify right side
    95,288x = 41,962,703,104
  5. Step 5: Solve for x
    x = 41,962,703,104/95,288
  6. Step 6: Final answer
    x = 440,377.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.