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Finding the Third Proportional to 196,419,519 and 273,105,645

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Solution

The third proportional to 196,419,519 and 273,105,645 is: 379,731,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419,519 : 273,105,645 = 273,105,645 : x
  2. Step 2: Convert to fraction form
    196,419,519/273,105,645 = 273,105,645/x
  3. Step 3: Cross multiply
    196,419,519x = 273,105,645 × 273,105,645
  4. Step 4: Simplify right side
    196,419,519x = 74,586,693,330,866,032
  5. Step 5: Solve for x
    x = 74,586,693,330,866,032/196,419,519
  6. Step 6: Final answer
    x = 379,731,575.10

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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.