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Finding the Third Proportional to 147,110,997 and 309,467,571

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Solution

The third proportional to 147,110,997 and 309,467,571 is: 651,006,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,110,997 : 309,467,571 = 309,467,571 : x
  2. Step 2: Convert to fraction form
    147,110,997/309,467,571 = 309,467,571/x
  3. Step 3: Cross multiply
    147,110,997x = 309,467,571 × 309,467,571
  4. Step 4: Simplify right side
    147,110,997x = 95,770,177,500,640,048
  5. Step 5: Solve for x
    x = 95,770,177,500,640,048/147,110,997
  6. Step 6: Final answer
    x = 651,006,243.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.