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Finding the Third Proportional to 133,033.88 and 195,660.56

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Solution

The third proportional to 133,033.88 and 195,660.56 is: 287,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033.88 : 195,660.56 = 195,660.56 : x
  2. Step 2: Convert to fraction form
    133,033.88/195,660.56 = 195,660.56/x
  3. Step 3: Cross multiply
    133,033.88x = 195,660.56 × 195,660.56
  4. Step 4: Simplify right side
    133,033.88x = 38,283,055,717.82
  5. Step 5: Solve for x
    x = 38,283,055,717.82/133,033.88
  6. Step 6: Final answer
    x = 287,769.23

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Why These Related Problems?

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