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Finding the Third Proportional to 95,061 and 209,022

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Solution

The third proportional to 95,061 and 209,022 is: 459,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,061 : 209,022 = 209,022 : x
  2. Step 2: Convert to fraction form
    95,061/209,022 = 209,022/x
  3. Step 3: Cross multiply
    95,061x = 209,022 × 209,022
  4. Step 4: Simplify right side
    95,061x = 43,690,196,484
  5. Step 5: Solve for x
    x = 43,690,196,484/95,061
  6. Step 6: Final answer
    x = 459,601.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.