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Finding the Third Proportional to 80,519,840,444 and 120,081,502,108

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Solution

The third proportional to 80,519,840,444 and 120,081,502,108 is: 179,080,920,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519,840,444 : 120,081,502,108 = 120,081,502,108 : x
  2. Step 2: Convert to fraction form
    80,519,840,444/120,081,502,108 = 120,081,502,108/x
  3. Step 3: Cross multiply
    80,519,840,444x = 120,081,502,108 × 120,081,502,108
  4. Step 4: Simplify right side
    80,519,840,444x = 14,419,567,148,513,609,383,936
  5. Step 5: Solve for x
    x = 14,419,567,148,513,609,383,936/80,519,840,444
  6. Step 6: Final answer
    x = 179,080,920,540.85

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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.