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Finding the Third Proportional to 111,836 and 223,591

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Solution

The third proportional to 111,836 and 223,591 is: 447,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,836 : 223,591 = 223,591 : x
  2. Step 2: Convert to fraction form
    111,836/223,591 = 223,591/x
  3. Step 3: Cross multiply
    111,836x = 223,591 × 223,591
  4. Step 4: Simplify right side
    111,836x = 49,992,935,281
  5. Step 5: Solve for x
    x = 49,992,935,281/111,836
  6. Step 6: Final answer
    x = 447,020.06

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.