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Finding the Third Proportional to 128,798.44 and 189,470.81

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Solution

The third proportional to 128,798.44 and 189,470.81 is: 278,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,798.44 : 189,470.81 = 189,470.81 : x
  2. Step 2: Convert to fraction form
    128,798.44/189,470.81 = 189,470.81/x
  3. Step 3: Cross multiply
    128,798.44x = 189,470.81 × 189,470.81
  4. Step 4: Simplify right side
    128,798.44x = 35,899,188,789.41
  5. Step 5: Solve for x
    x = 35,899,188,789.41/128,798.44
  6. Step 6: Final answer
    x = 278,723.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.