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Finding the Third Proportional to 80,519,840,520 and 120,081,501,864

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Solution

The third proportional to 80,519,840,520 and 120,081,501,864 is: 179,080,919,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519,840,520 : 120,081,501,864 = 120,081,501,864 : x
  2. Step 2: Convert to fraction form
    80,519,840,520/120,081,501,864 = 120,081,501,864/x
  3. Step 3: Cross multiply
    80,519,840,520x = 120,081,501,864 × 120,081,501,864
  4. Step 4: Simplify right side
    80,519,840,520x = 14,419,567,089,913,834,766,336
  5. Step 5: Solve for x
    x = 14,419,567,089,913,834,766,336/80,519,840,520
  6. Step 6: Final answer
    x = 179,080,919,644.05

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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.