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Finding the Third Proportional to 196,449,393 and 327,395,923

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Solution

The third proportional to 196,449,393 and 327,395,923 is: 545,626,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,449,393 : 327,395,923 = 327,395,923 : x
  2. Step 2: Convert to fraction form
    196,449,393/327,395,923 = 327,395,923/x
  3. Step 3: Cross multiply
    196,449,393x = 327,395,923 × 327,395,923
  4. Step 4: Simplify right side
    196,449,393x = 107,188,090,397,021,936
  5. Step 5: Solve for x
    x = 107,188,090,397,021,936/196,449,393
  6. Step 6: Final answer
    x = 545,626,986.98

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.