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Finding the Third Proportional to 80,232,633,937.50 and 174,881,541,249

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Solution

The third proportional to 80,232,633,937.50 and 174,881,541,249 is: 381,185,958,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232,633,937.50 : 174,881,541,249 = 174,881,541,249 : x
  2. Step 2: Convert to fraction form
    80,232,633,937.50/174,881,541,249 = 174,881,541,249/x
  3. Step 3: Cross multiply
    80,232,633,937.50x = 174,881,541,249 × 174,881,541,249
  4. Step 4: Simplify right side
    80,232,633,937.50x = 30,583,553,469,625,686,556,672
  5. Step 5: Solve for x
    x = 30,583,553,469,625,686,556,672/80,232,633,937.50
  6. Step 6: Final answer
    x = 381,185,958,489.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.