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Finding the Third Proportional to 149,711,494 and 327,600,446

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Solution

The third proportional to 149,711,494 and 327,600,446 is: 716,859,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,711,494 : 327,600,446 = 327,600,446 : x
  2. Step 2: Convert to fraction form
    149,711,494/327,600,446 = 327,600,446/x
  3. Step 3: Cross multiply
    149,711,494x = 327,600,446 × 327,600,446
  4. Step 4: Simplify right side
    149,711,494x = 107,322,052,219,398,912
  5. Step 5: Solve for x
    x = 107,322,052,219,398,912/149,711,494
  6. Step 6: Final answer
    x = 716,859,135.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.