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Finding the Third Proportional to 95,144.50 and 209,122

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Solution

The third proportional to 95,144.50 and 209,122 is: 459,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,144.50 : 209,122 = 209,122 : x
  2. Step 2: Convert to fraction form
    95,144.50/209,122 = 209,122/x
  3. Step 3: Cross multiply
    95,144.50x = 209,122 × 209,122
  4. Step 4: Simplify right side
    95,144.50x = 43,732,010,884
  5. Step 5: Solve for x
    x = 43,732,010,884/95,144.50
  6. Step 6: Final answer
    x = 459,637.82

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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.