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Finding the Third Proportional to 218,274,532 and 327,331,648

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Solution

The third proportional to 218,274,532 and 327,331,648 is: 490,877,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,274,532 : 327,331,648 = 327,331,648 : x
  2. Step 2: Convert to fraction form
    218,274,532/327,331,648 = 327,331,648/x
  3. Step 3: Cross multiply
    218,274,532x = 327,331,648 × 327,331,648
  4. Step 4: Simplify right side
    218,274,532x = 107,146,007,782,395,904
  5. Step 5: Solve for x
    x = 107,146,007,782,395,904/218,274,532
  6. Step 6: Final answer
    x = 490,877,276.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.