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Finding the Third Proportional to 126,786.94 and 196,216.59

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Solution

The third proportional to 126,786.94 and 196,216.59 is: 303,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,786.94 : 196,216.59 = 196,216.59 : x
  2. Step 2: Convert to fraction form
    126,786.94/196,216.59 = 196,216.59/x
  3. Step 3: Cross multiply
    126,786.94x = 196,216.59 × 196,216.59
  4. Step 4: Simplify right side
    126,786.94x = 38,500,951,662.85
  5. Step 5: Solve for x
    x = 38,500,951,662.85/126,786.94
  6. Step 6: Final answer
    x = 303,666.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.