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Finding the Third Proportional to 87,960.94 and 193,048.31

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Solution

The third proportional to 87,960.94 and 193,048.31 is: 423,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,960.94 : 193,048.31 = 193,048.31 : x
  2. Step 2: Convert to fraction form
    87,960.94/193,048.31 = 193,048.31/x
  3. Step 3: Cross multiply
    87,960.94x = 193,048.31 × 193,048.31
  4. Step 4: Simplify right side
    87,960.94x = 37,267,650,959.10
  5. Step 5: Solve for x
    x = 37,267,650,959.10/87,960.94
  6. Step 6: Final answer
    x = 423,684.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.