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Finding the Third Proportional to 256,166,847 and 551,238,963

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Solution

The third proportional to 256,166,847 and 551,238,963 is: 1,186,197,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166,847 : 551,238,963 = 551,238,963 : x
  2. Step 2: Convert to fraction form
    256,166,847/551,238,963 = 551,238,963/x
  3. Step 3: Cross multiply
    256,166,847x = 551,238,963 × 551,238,963
  4. Step 4: Simplify right side
    256,166,847x = 303,864,394,329,315,392
  5. Step 5: Solve for x
    x = 303,864,394,329,315,392/256,166,847
  6. Step 6: Final answer
    x = 1,186,197,190.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.