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Finding the Third Proportional to 98,832 and 219,804

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Solution

The third proportional to 98,832 and 219,804 is: 488,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,832 : 219,804 = 219,804 : x
  2. Step 2: Convert to fraction form
    98,832/219,804 = 219,804/x
  3. Step 3: Cross multiply
    98,832x = 219,804 × 219,804
  4. Step 4: Simplify right side
    98,832x = 48,313,798,416
  5. Step 5: Solve for x
    x = 48,313,798,416/98,832
  6. Step 6: Final answer
    x = 488,847.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.