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Finding the Third Proportional to 98,815.50 and 219,738.75

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Solution

The third proportional to 98,815.50 and 219,738.75 is: 488,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,815.50 : 219,738.75 = 219,738.75 : x
  2. Step 2: Convert to fraction form
    98,815.50/219,738.75 = 219,738.75/x
  3. Step 3: Cross multiply
    98,815.50x = 219,738.75 × 219,738.75
  4. Step 4: Simplify right side
    98,815.50x = 48,285,118,251.56
  5. Step 5: Solve for x
    x = 48,285,118,251.56/98,815.50
  6. Step 6: Final answer
    x = 488,639.11

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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.