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Finding the Third Proportional to 192,156,647,517 and 400,217,987,266.32

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Solution

The third proportional to 192,156,647,517 and 400,217,987,266.32 is: 833,561,780,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,156,647,517 : 400,217,987,266.32 = 400,217,987,266.32 : x
  2. Step 2: Convert to fraction form
    192,156,647,517/400,217,987,266.32 = 400,217,987,266.32/x
  3. Step 3: Cross multiply
    192,156,647,517x = 400,217,987,266.32 × 400,217,987,266.32
  4. Step 4: Simplify right side
    192,156,647,517x = 160,174,437,331,504,285,614,080
  5. Step 5: Solve for x
    x = 160,174,437,331,504,285,614,080/192,156,647,517
  6. Step 6: Final answer
    x = 833,561,780,980.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.