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Finding the Third Proportional to 121,346.44 and 189,942.05

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Solution

The third proportional to 121,346.44 and 189,942.05 is: 297,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,346.44 : 189,942.05 = 189,942.05 : x
  2. Step 2: Convert to fraction form
    121,346.44/189,942.05 = 189,942.05/x
  3. Step 3: Cross multiply
    121,346.44x = 189,942.05 × 189,942.05
  4. Step 4: Simplify right side
    121,346.44x = 36,077,981,171.06
  5. Step 5: Solve for x
    x = 36,077,981,171.06/121,346.44
  6. Step 6: Final answer
    x = 297,313.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.