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Finding the Third Proportional to 206,092,878 and 444,469,878

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Solution

The third proportional to 206,092,878 and 444,469,878 is: 958,565,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,092,878 : 444,469,878 = 444,469,878 : x
  2. Step 2: Convert to fraction form
    206,092,878/444,469,878 = 444,469,878/x
  3. Step 3: Cross multiply
    206,092,878x = 444,469,878 × 444,469,878
  4. Step 4: Simplify right side
    206,092,878x = 197,553,472,449,334,880
  5. Step 5: Solve for x
    x = 197,553,472,449,334,880/206,092,878
  6. Step 6: Final answer
    x = 958,565,256.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.