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Finding the Third Proportional to 238,023,708 and 367,806,990

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Solution

The third proportional to 238,023,708 and 367,806,990 is: 568,355,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,023,708 : 367,806,990 = 367,806,990 : x
  2. Step 2: Convert to fraction form
    238,023,708/367,806,990 = 367,806,990/x
  3. Step 3: Cross multiply
    238,023,708x = 367,806,990 × 367,806,990
  4. Step 4: Simplify right side
    238,023,708x = 135,281,981,892,860,096
  5. Step 5: Solve for x
    x = 135,281,981,892,860,096/238,023,708
  6. Step 6: Final answer
    x = 568,355,072.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.