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Finding the Third Proportional to 101,199.38 and 222,081.75

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Solution

The third proportional to 101,199.38 and 222,081.75 is: 487,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,199.38 : 222,081.75 = 222,081.75 : x
  2. Step 2: Convert to fraction form
    101,199.38/222,081.75 = 222,081.75/x
  3. Step 3: Cross multiply
    101,199.38x = 222,081.75 × 222,081.75
  4. Step 4: Simplify right side
    101,199.38x = 49,320,303,683.06
  5. Step 5: Solve for x
    x = 49,320,303,683.06/101,199.38
  6. Step 6: Final answer
    x = 487,357.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.