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Finding the Third Proportional to 101,013 and 219,711

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Solution

The third proportional to 101,013 and 219,711 is: 477,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,013 : 219,711 = 219,711 : x
  2. Step 2: Convert to fraction form
    101,013/219,711 = 219,711/x
  3. Step 3: Cross multiply
    101,013x = 219,711 × 219,711
  4. Step 4: Simplify right side
    101,013x = 48,272,923,521
  5. Step 5: Solve for x
    x = 48,272,923,521/101,013
  6. Step 6: Final answer
    x = 477,888.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.