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Finding the Third Proportional to 89,429.25 and 189,519.75

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Solution

The third proportional to 89,429.25 and 189,519.75 is: 401,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,429.25 : 189,519.75 = 189,519.75 : x
  2. Step 2: Convert to fraction form
    89,429.25/189,519.75 = 189,519.75/x
  3. Step 3: Cross multiply
    89,429.25x = 189,519.75 × 189,519.75
  4. Step 4: Simplify right side
    89,429.25x = 35,917,735,640.06
  5. Step 5: Solve for x
    x = 35,917,735,640.06/89,429.25
  6. Step 6: Final answer
    x = 401,632.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.