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Finding the Third Proportional to 110,651,912 and 177,787,456

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Solution

The third proportional to 110,651,912 and 177,787,456 is: 285,655,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651,912 : 177,787,456 = 177,787,456 : x
  2. Step 2: Convert to fraction form
    110,651,912/177,787,456 = 177,787,456/x
  3. Step 3: Cross multiply
    110,651,912x = 177,787,456 × 177,787,456
  4. Step 4: Simplify right side
    110,651,912x = 31,608,379,510,951,936
  5. Step 5: Solve for x
    x = 31,608,379,510,951,936/110,651,912
  6. Step 6: Final answer
    x = 285,655,972.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.