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Finding the Third Proportional to 81,914,924 and 175,986,220

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Solution

The third proportional to 81,914,924 and 175,986,220 is: 378,089,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,914,924 : 175,986,220 = 175,986,220 : x
  2. Step 2: Convert to fraction form
    81,914,924/175,986,220 = 175,986,220/x
  3. Step 3: Cross multiply
    81,914,924x = 175,986,220 × 175,986,220
  4. Step 4: Simplify right side
    81,914,924x = 30,971,149,629,888,400
  5. Step 5: Solve for x
    x = 30,971,149,629,888,400/81,914,924
  6. Step 6: Final answer
    x = 378,089,218.88

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Why These Related Problems?

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