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Finding the Third Proportional to 84,908.57 and 179,923.46

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Solution

The third proportional to 84,908.57 and 179,923.46 is: 381,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,908.57 : 179,923.46 = 179,923.46 : x
  2. Step 2: Convert to fraction form
    84,908.57/179,923.46 = 179,923.46/x
  3. Step 3: Cross multiply
    84,908.57x = 179,923.46 × 179,923.46
  4. Step 4: Simplify right side
    84,908.57x = 32,372,453,201.38
  5. Step 5: Solve for x
    x = 32,372,453,201.38/84,908.57
  6. Step 6: Final answer
    x = 381,262.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.