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Finding the Third Proportional to 81,914,920 and 175,986,212

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Solution

The third proportional to 81,914,920 and 175,986,212 is: 378,089,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,914,920 : 175,986,212 = 175,986,212 : x
  2. Step 2: Convert to fraction form
    81,914,920/175,986,212 = 175,986,212/x
  3. Step 3: Cross multiply
    81,914,920x = 175,986,212 × 175,986,212
  4. Step 4: Simplify right side
    81,914,920x = 30,971,146,814,108,944
  5. Step 5: Solve for x
    x = 30,971,146,814,108,944/81,914,920
  6. Step 6: Final answer
    x = 378,089,202.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.