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Finding the Third Proportional to 51,690,233 and 110,222,766

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Solution

The third proportional to 51,690,233 and 110,222,766 is: 235,035,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690,233 : 110,222,766 = 110,222,766 : x
  2. Step 2: Convert to fraction form
    51,690,233/110,222,766 = 110,222,766/x
  3. Step 3: Cross multiply
    51,690,233x = 110,222,766 × 110,222,766
  4. Step 4: Simplify right side
    51,690,233x = 12,149,058,144,690,756
  5. Step 5: Solve for x
    x = 12,149,058,144,690,756/51,690,233
  6. Step 6: Final answer
    x = 235,035,855.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.