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Finding the Third Proportional to 80,105,072 and 164,456,756

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Solution

The third proportional to 80,105,072 and 164,456,756 is: 337,631,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,072 : 164,456,756 = 164,456,756 : x
  2. Step 2: Convert to fraction form
    80,105,072/164,456,756 = 164,456,756/x
  3. Step 3: Cross multiply
    80,105,072x = 164,456,756 × 164,456,756
  4. Step 4: Simplify right side
    80,105,072x = 27,046,024,594,043,536
  5. Step 5: Solve for x
    x = 27,046,024,594,043,536/80,105,072
  6. Step 6: Final answer
    x = 337,631,861.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.