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Finding the Third Proportional to 95,229 and 209,138

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Solution

The third proportional to 95,229 and 209,138 is: 459,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,229 : 209,138 = 209,138 : x
  2. Step 2: Convert to fraction form
    95,229/209,138 = 209,138/x
  3. Step 3: Cross multiply
    95,229x = 209,138 × 209,138
  4. Step 4: Simplify right side
    95,229x = 43,738,703,044
  5. Step 5: Solve for x
    x = 43,738,703,044/95,229
  6. Step 6: Final answer
    x = 459,300.25

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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.