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Finding the Third Proportional to 101,000 and 219,472

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Solution

The third proportional to 101,000 and 219,472 is: 476,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,000 : 219,472 = 219,472 : x
  2. Step 2: Convert to fraction form
    101,000/219,472 = 219,472/x
  3. Step 3: Cross multiply
    101,000x = 219,472 × 219,472
  4. Step 4: Simplify right side
    101,000x = 48,167,958,784
  5. Step 5: Solve for x
    x = 48,167,958,784/101,000
  6. Step 6: Final answer
    x = 476,910.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.