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Finding the Third Proportional to 107,622 and 219,624

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Solution

The third proportional to 107,622 and 219,624 is: 448,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,622 : 219,624 = 219,624 : x
  2. Step 2: Convert to fraction form
    107,622/219,624 = 219,624/x
  3. Step 3: Cross multiply
    107,622x = 219,624 × 219,624
  4. Step 4: Simplify right side
    107,622x = 48,234,701,376
  5. Step 5: Solve for x
    x = 48,234,701,376/107,622
  6. Step 6: Final answer
    x = 448,186.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.