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Finding the Third Proportional to 109,707,625.50 and 150,435,809

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Solution

The third proportional to 109,707,625.50 and 150,435,809 is: 206,284,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,707,625.50 : 150,435,809 = 150,435,809 : x
  2. Step 2: Convert to fraction form
    109,707,625.50/150,435,809 = 150,435,809/x
  3. Step 3: Cross multiply
    109,707,625.50x = 150,435,809 × 150,435,809
  4. Step 4: Simplify right side
    109,707,625.50x = 22,630,932,629,484,480
  5. Step 5: Solve for x
    x = 22,630,932,629,484,480/109,707,625.50
  6. Step 6: Final answer
    x = 206,284,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.