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Finding the Third Proportional to 57,449,942.50 and 122,887,067.50

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Solution

The third proportional to 57,449,942.50 and 122,887,067.50 is: 262,858,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449,942.50 : 122,887,067.50 = 122,887,067.50 : x
  2. Step 2: Convert to fraction form
    57,449,942.50/122,887,067.50 = 122,887,067.50/x
  3. Step 3: Cross multiply
    57,449,942.50x = 122,887,067.50 × 122,887,067.50
  4. Step 4: Simplify right side
    57,449,942.50x = 15,101,231,358,749,556
  5. Step 5: Solve for x
    x = 15,101,231,358,749,556/57,449,942.50
  6. Step 6: Final answer
    x = 262,858,946.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.