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Finding the Third Proportional to 33,336.94 and 78,694.88

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Solution

The third proportional to 33,336.94 and 78,694.88 is: 185,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,336.94 : 78,694.88 = 78,694.88 : x
  2. Step 2: Convert to fraction form
    33,336.94/78,694.88 = 78,694.88/x
  3. Step 3: Cross multiply
    33,336.94x = 78,694.88 × 78,694.88
  4. Step 4: Simplify right side
    33,336.94x = 6,192,883,351.27
  5. Step 5: Solve for x
    x = 6,192,883,351.27/33,336.94
  6. Step 6: Final answer
    x = 185,766.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.