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Finding the Third Proportional to 65,792,596 and 142,568,304

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Solution

The third proportional to 65,792,596 and 142,568,304 is: 308,936,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792,596 : 142,568,304 = 142,568,304 : x
  2. Step 2: Convert to fraction form
    65,792,596/142,568,304 = 142,568,304/x
  3. Step 3: Cross multiply
    65,792,596x = 142,568,304 × 142,568,304
  4. Step 4: Simplify right side
    65,792,596x = 20,325,721,305,436,416
  5. Step 5: Solve for x
    x = 20,325,721,305,436,416/65,792,596
  6. Step 6: Final answer
    x = 308,936,301.97

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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.