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Finding the Third Proportional to 50,922,751.50 and 104,198,712.75

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Solution

The third proportional to 50,922,751.50 and 104,198,712.75 is: 213,212,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922,751.50 : 104,198,712.75 = 104,198,712.75 : x
  2. Step 2: Convert to fraction form
    50,922,751.50/104,198,712.75 = 104,198,712.75/x
  3. Step 3: Cross multiply
    50,922,751.50x = 104,198,712.75 × 104,198,712.75
  4. Step 4: Simplify right side
    50,922,751.50x = 10,857,371,738,757,012
  5. Step 5: Solve for x
    x = 10,857,371,738,757,012/50,922,751.50
  6. Step 6: Final answer
    x = 213,212,590.03

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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.