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Finding the Third Proportional to 196,524,277 and 420,655,542

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Solution

The third proportional to 196,524,277 and 420,655,542 is: 900,403,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524,277 : 420,655,542 = 420,655,542 : x
  2. Step 2: Convert to fraction form
    196,524,277/420,655,542 = 420,655,542/x
  3. Step 3: Cross multiply
    196,524,277x = 420,655,542 × 420,655,542
  4. Step 4: Simplify right side
    196,524,277x = 176,951,085,015,313,760
  5. Step 5: Solve for x
    x = 176,951,085,015,313,760/196,524,277
  6. Step 6: Final answer
    x = 900,403,185.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.