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Finding the Third Proportional to 95,061 and 204,864

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Solution

The third proportional to 95,061 and 204,864 is: 441,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,061 : 204,864 = 204,864 : x
  2. Step 2: Convert to fraction form
    95,061/204,864 = 204,864/x
  3. Step 3: Cross multiply
    95,061x = 204,864 × 204,864
  4. Step 4: Simplify right side
    95,061x = 41,969,258,496
  5. Step 5: Solve for x
    x = 41,969,258,496/95,061
  6. Step 6: Final answer
    x = 441,498.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.