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Finding the Third Proportional to 80,697.94 and 164,959.88

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Solution

The third proportional to 80,697.94 and 164,959.88 is: 337,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,697.94 : 164,959.88 = 164,959.88 : x
  2. Step 2: Convert to fraction form
    80,697.94/164,959.88 = 164,959.88/x
  3. Step 3: Cross multiply
    80,697.94x = 164,959.88 × 164,959.88
  4. Step 4: Simplify right side
    80,697.94x = 27,211,760,360.02
  5. Step 5: Solve for x
    x = 27,211,760,360.02/80,697.94
  6. Step 6: Final answer
    x = 337,205.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.