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Finding the Third Proportional to 50,922,627 and 104,198,467.50

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Solution

The third proportional to 50,922,627 and 104,198,467.50 is: 213,212,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922,627 : 104,198,467.50 = 104,198,467.50 : x
  2. Step 2: Convert to fraction form
    50,922,627/104,198,467.50 = 104,198,467.50/x
  3. Step 3: Cross multiply
    50,922,627x = 104,198,467.50 × 104,198,467.50
  4. Step 4: Simplify right side
    50,922,627x = 10,857,320,629,348,556
  5. Step 5: Solve for x
    x = 10,857,320,629,348,556/50,922,627
  6. Step 6: Final answer
    x = 213,212,107.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.