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Finding the Third Proportional to 148,392,953 and 317,164,041

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Solution

The third proportional to 148,392,953 and 317,164,041 is: 677,882,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,392,953 : 317,164,041 = 317,164,041 : x
  2. Step 2: Convert to fraction form
    148,392,953/317,164,041 = 317,164,041/x
  3. Step 3: Cross multiply
    148,392,953x = 317,164,041 × 317,164,041
  4. Step 4: Simplify right side
    148,392,953x = 100,593,028,903,449,680
  5. Step 5: Solve for x
    x = 100,593,028,903,449,680/148,392,953
  6. Step 6: Final answer
    x = 677,882,789.38

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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.