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Finding the Third Proportional to 45,611 and 100,213

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Solution

The third proportional to 45,611 and 100,213 is: 220,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,611 : 100,213 = 100,213 : x
  2. Step 2: Convert to fraction form
    45,611/100,213 = 100,213/x
  3. Step 3: Cross multiply
    45,611x = 100,213 × 100,213
  4. Step 4: Simplify right side
    45,611x = 10,042,645,369
  5. Step 5: Solve for x
    x = 10,042,645,369/45,611
  6. Step 6: Final answer
    x = 220,180.34

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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.