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Finding the Third Proportional to 92,322,742 and 199,965,913

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Solution

The third proportional to 92,322,742 and 199,965,913 is: 433,115,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,322,742 : 199,965,913 = 199,965,913 : x
  2. Step 2: Convert to fraction form
    92,322,742/199,965,913 = 199,965,913/x
  3. Step 3: Cross multiply
    92,322,742x = 199,965,913 × 199,965,913
  4. Step 4: Simplify right side
    92,322,742x = 39,986,366,361,923,568
  5. Step 5: Solve for x
    x = 39,986,366,361,923,568/92,322,742
  6. Step 6: Final answer
    x = 433,115,021.24

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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.