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Finding the Third Proportional to 65,792,591 and 142,568,296

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Solution

The third proportional to 65,792,591 and 142,568,296 is: 308,936,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792,591 : 142,568,296 = 142,568,296 : x
  2. Step 2: Convert to fraction form
    65,792,591/142,568,296 = 142,568,296/x
  3. Step 3: Cross multiply
    65,792,591x = 142,568,296 × 142,568,296
  4. Step 4: Simplify right side
    65,792,591x = 20,325,719,024,343,616
  5. Step 5: Solve for x
    x = 20,325,719,024,343,616/65,792,591
  6. Step 6: Final answer
    x = 308,936,290.78

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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.