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Finding the Third Proportional to 99,974.25 and 222,091.31

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Solution

The third proportional to 99,974.25 and 222,091.31 is: 493,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,974.25 : 222,091.31 = 222,091.31 : x
  2. Step 2: Convert to fraction form
    99,974.25/222,091.31 = 222,091.31/x
  3. Step 3: Cross multiply
    99,974.25x = 222,091.31 × 222,091.31
  4. Step 4: Simplify right side
    99,974.25x = 49,324,551,087.97
  5. Step 5: Solve for x
    x = 49,324,551,087.97/99,974.25
  6. Step 6: Final answer
    x = 493,372.55

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.