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Finding the Third Proportional to 101,882 and 223,933

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Solution

The third proportional to 101,882 and 223,933 is: 492,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,882 : 223,933 = 223,933 : x
  2. Step 2: Convert to fraction form
    101,882/223,933 = 223,933/x
  3. Step 3: Cross multiply
    101,882x = 223,933 × 223,933
  4. Step 4: Simplify right side
    101,882x = 50,145,988,489
  5. Step 5: Solve for x
    x = 50,145,988,489/101,882
  6. Step 6: Final answer
    x = 492,196.74

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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.