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Finding the Third Proportional to 192,799,928 and 293,717,568

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Solution

The third proportional to 192,799,928 and 293,717,568 is: 447,458,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,799,928 : 293,717,568 = 293,717,568 : x
  2. Step 2: Convert to fraction form
    192,799,928/293,717,568 = 293,717,568/x
  3. Step 3: Cross multiply
    192,799,928x = 293,717,568 × 293,717,568
  4. Step 4: Simplify right side
    192,799,928x = 86,270,009,751,834,624
  5. Step 5: Solve for x
    x = 86,270,009,751,834,624/192,799,928
  6. Step 6: Final answer
    x = 447,458,723.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.