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Finding the Third Proportional to 95,744.25 and 146,208.38

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Solution

The third proportional to 95,744.25 and 146,208.38 is: 223,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744.25 : 146,208.38 = 146,208.38 : x
  2. Step 2: Convert to fraction form
    95,744.25/146,208.38 = 146,208.38/x
  3. Step 3: Cross multiply
    95,744.25x = 146,208.38 × 146,208.38
  4. Step 4: Simplify right side
    95,744.25x = 21,376,888,920.14
  5. Step 5: Solve for x
    x = 21,376,888,920.14/95,744.25
  6. Step 6: Final answer
    x = 223,270.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.