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Finding the Third Proportional to 196,419,509 and 273,105,631

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Solution

The third proportional to 196,419,509 and 273,105,631 is: 379,731,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419,509 : 273,105,631 = 273,105,631 : x
  2. Step 2: Convert to fraction form
    196,419,509/273,105,631 = 273,105,631/x
  3. Step 3: Cross multiply
    196,419,509x = 273,105,631 × 273,105,631
  4. Step 4: Simplify right side
    196,419,509x = 74,586,685,683,908,160
  5. Step 5: Solve for x
    x = 74,586,685,683,908,160/196,419,509
  6. Step 6: Final answer
    x = 379,731,555.50

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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.