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Finding the Third Proportional to 148,479,138 and 224,629,740

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Solution

The third proportional to 148,479,138 and 224,629,740 is: 339,835,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,479,138 : 224,629,740 = 224,629,740 : x
  2. Step 2: Convert to fraction form
    148,479,138/224,629,740 = 224,629,740/x
  3. Step 3: Cross multiply
    148,479,138x = 224,629,740 × 224,629,740
  4. Step 4: Simplify right side
    148,479,138x = 50,458,520,092,467,600
  5. Step 5: Solve for x
    x = 50,458,520,092,467,600/148,479,138
  6. Step 6: Final answer
    x = 339,835,755.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.