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Finding the Third Proportional to 51,397,218 and 110,987,718

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Solution

The third proportional to 51,397,218 and 110,987,718 is: 239,668,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397,218 : 110,987,718 = 110,987,718 : x
  2. Step 2: Convert to fraction form
    51,397,218/110,987,718 = 110,987,718/x
  3. Step 3: Cross multiply
    51,397,218x = 110,987,718 × 110,987,718
  4. Step 4: Simplify right side
    51,397,218x = 12,318,273,546,847,524
  5. Step 5: Solve for x
    x = 12,318,273,546,847,524/51,397,218
  6. Step 6: Final answer
    x = 239,668,099.29

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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.