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Finding the Third Proportional to 98,082 and 211,722

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Solution

The third proportional to 98,082 and 211,722 is: 457,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,082 : 211,722 = 211,722 : x
  2. Step 2: Convert to fraction form
    98,082/211,722 = 211,722/x
  3. Step 3: Cross multiply
    98,082x = 211,722 × 211,722
  4. Step 4: Simplify right side
    98,082x = 44,826,205,284
  5. Step 5: Solve for x
    x = 44,826,205,284/98,082
  6. Step 6: Final answer
    x = 457,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.