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Finding the Third Proportional to 192,414,991.22 and 420,099,711.19

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Solution

The third proportional to 192,414,991.22 and 420,099,711.19 is: 917,203,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,414,991.22 : 420,099,711.19 = 420,099,711.19 : x
  2. Step 2: Convert to fraction form
    192,414,991.22/420,099,711.19 = 420,099,711.19/x
  3. Step 3: Cross multiply
    192,414,991.22x = 420,099,711.19 × 420,099,711.19
  4. Step 4: Simplify right side
    192,414,991.22x = 176,483,767,339,820,928
  5. Step 5: Solve for x
    x = 176,483,767,339,820,928/192,414,991.22
  6. Step 6: Final answer
    x = 917,203,832.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.