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Finding the Third Proportional to 147,431,296 and 319,923,104

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Solution

The third proportional to 147,431,296 and 319,923,104 is: 694,227,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431,296 : 319,923,104 = 319,923,104 : x
  2. Step 2: Convert to fraction form
    147,431,296/319,923,104 = 319,923,104/x
  3. Step 3: Cross multiply
    147,431,296x = 319,923,104 × 319,923,104
  4. Step 4: Simplify right side
    147,431,296x = 102,350,792,472,994,816
  5. Step 5: Solve for x
    x = 102,350,792,472,994,816/147,431,296
  6. Step 6: Final answer
    x = 694,227,041.68

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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.