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Finding the Third Proportional to 230,122,242 and 494,395,812

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Solution

The third proportional to 230,122,242 and 494,395,812 is: 1,062,162,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,122,242 : 494,395,812 = 494,395,812 : x
  2. Step 2: Convert to fraction form
    230,122,242/494,395,812 = 494,395,812/x
  3. Step 3: Cross multiply
    230,122,242x = 494,395,812 × 494,395,812
  4. Step 4: Simplify right side
    230,122,242x = 244,427,218,923,139,328
  5. Step 5: Solve for x
    x = 244,427,218,923,139,328/230,122,242
  6. Step 6: Final answer
    x = 1,062,162,513.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.