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Finding the Third Proportional to 148,436,876 and 226,494,578

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Solution

The third proportional to 148,436,876 and 226,494,578 is: 345,600,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,436,876 : 226,494,578 = 226,494,578 : x
  2. Step 2: Convert to fraction form
    148,436,876/226,494,578 = 226,494,578/x
  3. Step 3: Cross multiply
    148,436,876x = 226,494,578 × 226,494,578
  4. Step 4: Simplify right side
    148,436,876x = 51,299,793,863,398,080
  5. Step 5: Solve for x
    x = 51,299,793,863,398,080/148,436,876
  6. Step 6: Final answer
    x = 345,600,064.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.