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Finding the Third Proportional to 80,519,839,784 and 120,081,500,860

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Solution

The third proportional to 80,519,839,784 and 120,081,500,860 is: 179,080,918,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519,839,784 : 120,081,500,860 = 120,081,500,860 : x
  2. Step 2: Convert to fraction form
    80,519,839,784/120,081,500,860 = 120,081,500,860/x
  3. Step 3: Cross multiply
    80,519,839,784x = 120,081,500,860 × 120,081,500,860
  4. Step 4: Simplify right side
    80,519,839,784x = 14,419,566,848,790,180,659,200
  5. Step 5: Solve for x
    x = 14,419,566,848,790,180,659,200/80,519,839,784
  6. Step 6: Final answer
    x = 179,080,918,286.37

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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.