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Finding the Third Proportional to 80,519,842,206 and 120,081,504,024

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Solution

The third proportional to 80,519,842,206 and 120,081,504,024 is: 179,080,922,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519,842,206 : 120,081,504,024 = 120,081,504,024 : x
  2. Step 2: Convert to fraction form
    80,519,842,206/120,081,504,024 = 120,081,504,024/x
  3. Step 3: Cross multiply
    80,519,842,206x = 120,081,504,024 × 120,081,504,024
  4. Step 4: Simplify right side
    80,519,842,206x = 14,419,567,608,665,928,105,984
  5. Step 5: Solve for x
    x = 14,419,567,608,665,928,105,984/80,519,842,206
  6. Step 6: Final answer
    x = 179,080,922,336.82

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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.