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Finding the Third Proportional to 76,982,992 and 159,422,790

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Solution

The third proportional to 76,982,992 and 159,422,790 is: 330,145,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,982,992 : 159,422,790 = 159,422,790 : x
  2. Step 2: Convert to fraction form
    76,982,992/159,422,790 = 159,422,790/x
  3. Step 3: Cross multiply
    76,982,992x = 159,422,790 × 159,422,790
  4. Step 4: Simplify right side
    76,982,992x = 25,415,625,971,384,100
  5. Step 5: Solve for x
    x = 25,415,625,971,384,100/76,982,992
  6. Step 6: Final answer
    x = 330,145,988.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.