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Finding the Third Proportional to 101,812 and 223,702

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Solution

The third proportional to 101,812 and 223,702 is: 491,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812 : 223,702 = 223,702 : x
  2. Step 2: Convert to fraction form
    101,812/223,702 = 223,702/x
  3. Step 3: Cross multiply
    101,812x = 223,702 × 223,702
  4. Step 4: Simplify right side
    101,812x = 50,042,584,804
  5. Step 5: Solve for x
    x = 50,042,584,804/101,812
  6. Step 6: Final answer
    x = 491,519.51

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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.