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Finding the Third Proportional to 196,305,738 and 425,327,766

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Solution

The third proportional to 196,305,738 and 425,327,766 is: 921,540,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,305,738 : 425,327,766 = 425,327,766 : x
  2. Step 2: Convert to fraction form
    196,305,738/425,327,766 = 425,327,766/x
  3. Step 3: Cross multiply
    196,305,738x = 425,327,766 × 425,327,766
  4. Step 4: Simplify right side
    196,305,738x = 180,903,708,530,550,752
  5. Step 5: Solve for x
    x = 180,903,708,530,550,752/196,305,738
  6. Step 6: Final answer
    x = 921,540,604.84

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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.