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Finding the Third Proportional to 49,209.40 and 115,232.31

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Solution

The third proportional to 49,209.40 and 115,232.31 is: 269,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.40 : 115,232.31 = 115,232.31 : x
  2. Step 2: Convert to fraction form
    49,209.40/115,232.31 = 115,232.31/x
  3. Step 3: Cross multiply
    49,209.40x = 115,232.31 × 115,232.31
  4. Step 4: Simplify right side
    49,209.40x = 13,278,484,943.85
  5. Step 5: Solve for x
    x = 13,278,484,943.85/49,209.40
  6. Step 6: Final answer
    x = 269,836.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.