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Finding the Third Proportional to 115,969,920 and 162,219,233

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Solution

The third proportional to 115,969,920 and 162,219,233 is: 226,912,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,969,920 : 162,219,233 = 162,219,233 : x
  2. Step 2: Convert to fraction form
    115,969,920/162,219,233 = 162,219,233/x
  3. Step 3: Cross multiply
    115,969,920x = 162,219,233 × 162,219,233
  4. Step 4: Simplify right side
    115,969,920x = 26,315,079,555,108,288
  5. Step 5: Solve for x
    x = 26,315,079,555,108,288/115,969,920
  6. Step 6: Final answer
    x = 226,912,974.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.