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Finding the Third Proportional to 217,562,764 and 337,373,187

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Solution

The third proportional to 217,562,764 and 337,373,187 is: 523,162,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,562,764 : 337,373,187 = 337,373,187 : x
  2. Step 2: Convert to fraction form
    217,562,764/337,373,187 = 337,373,187/x
  3. Step 3: Cross multiply
    217,562,764x = 337,373,187 × 337,373,187
  4. Step 4: Simplify right side
    217,562,764x = 113,820,667,306,536,976
  5. Step 5: Solve for x
    x = 113,820,667,306,536,976/217,562,764
  6. Step 6: Final answer
    x = 523,162,443.86

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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.