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Finding the Third Proportional to 80,105,190 and 164,456,964

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Solution

The third proportional to 80,105,190 and 164,456,964 is: 337,632,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,190 : 164,456,964 = 164,456,964 : x
  2. Step 2: Convert to fraction form
    80,105,190/164,456,964 = 164,456,964/x
  3. Step 3: Cross multiply
    80,105,190x = 164,456,964 × 164,456,964
  4. Step 4: Simplify right side
    80,105,190x = 27,046,093,008,097,296
  5. Step 5: Solve for x
    x = 27,046,093,008,097,296/80,105,190
  6. Step 6: Final answer
    x = 337,632,218.44

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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.