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Finding the Third Proportional to 148,222,236 and 326,599,800

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Solution

The third proportional to 148,222,236 and 326,599,800 is: 719,645,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,222,236 : 326,599,800 = 326,599,800 : x
  2. Step 2: Convert to fraction form
    148,222,236/326,599,800 = 326,599,800/x
  3. Step 3: Cross multiply
    148,222,236x = 326,599,800 × 326,599,800
  4. Step 4: Simplify right side
    148,222,236x = 106,667,429,360,040,000
  5. Step 5: Solve for x
    x = 106,667,429,360,040,000/148,222,236
  6. Step 6: Final answer
    x = 719,645,258.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.