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Finding the Third Proportional to 196,306,797 and 425,329,620

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Solution

The third proportional to 196,306,797 and 425,329,620 is: 921,543,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,306,797 : 425,329,620 = 425,329,620 : x
  2. Step 2: Convert to fraction form
    196,306,797/425,329,620 = 425,329,620/x
  3. Step 3: Cross multiply
    196,306,797x = 425,329,620 × 425,329,620
  4. Step 4: Simplify right side
    196,306,797x = 180,905,285,649,344,384
  5. Step 5: Solve for x
    x = 180,905,285,649,344,384/196,306,797
  6. Step 6: Final answer
    x = 921,543,667.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.