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Finding the Third Proportional to 110,206.41 and 225,082.13

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Solution

The third proportional to 110,206.41 and 225,082.13 is: 459,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.41 : 225,082.13 = 225,082.13 : x
  2. Step 2: Convert to fraction form
    110,206.41/225,082.13 = 225,082.13/x
  3. Step 3: Cross multiply
    110,206.41x = 225,082.13 × 225,082.13
  4. Step 4: Simplify right side
    110,206.41x = 50,661,962,994.52
  5. Step 5: Solve for x
    x = 50,661,962,994.52/110,206.41
  6. Step 6: Final answer
    x = 459,700.71

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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.