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Finding the Third Proportional to 100,200,622 and 155,149,296

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Solution

The third proportional to 100,200,622 and 155,149,296 is: 240,231,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200,622 : 155,149,296 = 155,149,296 : x
  2. Step 2: Convert to fraction form
    100,200,622/155,149,296 = 155,149,296/x
  3. Step 3: Cross multiply
    100,200,622x = 155,149,296 × 155,149,296
  4. Step 4: Simplify right side
    100,200,622x = 24,071,304,049,295,616
  5. Step 5: Solve for x
    x = 24,071,304,049,295,616/100,200,622
  6. Step 6: Final answer
    x = 240,231,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.