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Finding the Third Proportional to 196,419,518 and 273,105,642

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Solution

The third proportional to 196,419,518 and 273,105,642 is: 379,731,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419,518 : 273,105,642 = 273,105,642 : x
  2. Step 2: Convert to fraction form
    196,419,518/273,105,642 = 273,105,642/x
  3. Step 3: Cross multiply
    196,419,518x = 273,105,642 × 273,105,642
  4. Step 4: Simplify right side
    196,419,518x = 74,586,691,692,232,160
  5. Step 5: Solve for x
    x = 74,586,691,692,232,160/196,419,518
  6. Step 6: Final answer
    x = 379,731,568.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.