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Finding the Third Proportional to 148,392,957 and 317,164,049

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Solution

The third proportional to 148,392,957 and 317,164,049 is: 677,882,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,392,957 : 317,164,049 = 317,164,049 : x
  2. Step 2: Convert to fraction form
    148,392,957/317,164,049 = 317,164,049/x
  3. Step 3: Cross multiply
    148,392,957x = 317,164,049 × 317,164,049
  4. Step 4: Simplify right side
    148,392,957x = 100,593,033,978,074,400
  5. Step 5: Solve for x
    x = 100,593,033,978,074,400/148,392,957
  6. Step 6: Final answer
    x = 677,882,805.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.