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Finding the Third Proportional to 78,939.56 and 150,604.31

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Solution

The third proportional to 78,939.56 and 150,604.31 is: 287,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,939.56 : 150,604.31 = 150,604.31 : x
  2. Step 2: Convert to fraction form
    78,939.56/150,604.31 = 150,604.31/x
  3. Step 3: Cross multiply
    78,939.56x = 150,604.31 × 150,604.31
  4. Step 4: Simplify right side
    78,939.56x = 22,681,658,943.60
  5. Step 5: Solve for x
    x = 22,681,658,943.60/78,939.56
  6. Step 6: Final answer
    x = 287,329.42

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.