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Finding the Third Proportional to 185,389,137 and 280,469,722

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Solution

The third proportional to 185,389,137 and 280,469,722 is: 424,314,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,137 : 280,469,722 = 280,469,722 : x
  2. Step 2: Convert to fraction form
    185,389,137/280,469,722 = 280,469,722/x
  3. Step 3: Cross multiply
    185,389,137x = 280,469,722 × 280,469,722
  4. Step 4: Simplify right side
    185,389,137x = 78,663,264,958,757,280
  5. Step 5: Solve for x
    x = 78,663,264,958,757,280/185,389,137
  6. Step 6: Final answer
    x = 424,314,316.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.