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Finding the Third Proportional to 80,519,839,764 and 120,081,500,832

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Solution

The third proportional to 80,519,839,764 and 120,081,500,832 is: 179,080,918,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519,839,764 : 120,081,500,832 = 120,081,500,832 : x
  2. Step 2: Convert to fraction form
    80,519,839,764/120,081,500,832 = 120,081,500,832/x
  3. Step 3: Cross multiply
    80,519,839,764x = 120,081,500,832 × 120,081,500,832
  4. Step 4: Simplify right side
    80,519,839,764x = 14,419,566,842,065,616,633,856
  5. Step 5: Solve for x
    x = 14,419,566,842,065,616,633,856/80,519,839,764
  6. Step 6: Final answer
    x = 179,080,918,247.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.