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Finding the Third Proportional to 217,562,762 and 337,373,184

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Solution

The third proportional to 217,562,762 and 337,373,184 is: 523,162,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,562,762 : 337,373,184 = 337,373,184 : x
  2. Step 2: Convert to fraction form
    217,562,762/337,373,184 = 337,373,184/x
  3. Step 3: Cross multiply
    217,562,762x = 337,373,184 × 337,373,184
  4. Step 4: Simplify right side
    217,562,762x = 113,820,665,282,297,856
  5. Step 5: Solve for x
    x = 113,820,665,282,297,856/217,562,762
  6. Step 6: Final answer
    x = 523,162,439.36

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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.