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Finding the Third Proportional to 101,900 and 223,972

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Solution

The third proportional to 101,900 and 223,972 is: 492,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,900 : 223,972 = 223,972 : x
  2. Step 2: Convert to fraction form
    101,900/223,972 = 223,972/x
  3. Step 3: Cross multiply
    101,900x = 223,972 × 223,972
  4. Step 4: Simplify right side
    101,900x = 50,163,456,784
  5. Step 5: Solve for x
    x = 50,163,456,784/101,900
  6. Step 6: Final answer
    x = 492,281.22

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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.