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Finding the Third Proportional to 45,163 and 99,314

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Solution

The third proportional to 45,163 and 99,314 is: 218,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,163 : 99,314 = 99,314 : x
  2. Step 2: Convert to fraction form
    45,163/99,314 = 99,314/x
  3. Step 3: Cross multiply
    45,163x = 99,314 × 99,314
  4. Step 4: Simplify right side
    45,163x = 9,863,270,596
  5. Step 5: Solve for x
    x = 9,863,270,596/45,163
  6. Step 6: Final answer
    x = 218,392.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.