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Finding the Third Proportional to 197,859,078 and 263,782,158

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Solution

The third proportional to 197,859,078 and 263,782,158 is: 351,669,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,859,078 : 263,782,158 = 263,782,158 : x
  2. Step 2: Convert to fraction form
    197,859,078/263,782,158 = 263,782,158/x
  3. Step 3: Cross multiply
    197,859,078x = 263,782,158 × 263,782,158
  4. Step 4: Simplify right side
    197,859,078x = 69,581,026,879,136,960
  5. Step 5: Solve for x
    x = 69,581,026,879,136,960/197,859,078
  6. Step 6: Final answer
    x = 351,669,620.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.