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Finding the Third Proportional to 107,945.16 and 150,948.56

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Solution

The third proportional to 107,945.16 and 150,948.56 is: 211,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,945.16 : 150,948.56 = 150,948.56 : x
  2. Step 2: Convert to fraction form
    107,945.16/150,948.56 = 150,948.56/x
  3. Step 3: Cross multiply
    107,945.16x = 150,948.56 × 150,948.56
  4. Step 4: Simplify right side
    107,945.16x = 22,785,468,520.82
  5. Step 5: Solve for x
    x = 22,785,468,520.82/107,945.16
  6. Step 6: Final answer
    x = 211,083.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.