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Finding the Third Proportional to 98,813.67 and 219,735.28

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Solution

The third proportional to 98,813.67 and 219,735.28 is: 488,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,813.67 : 219,735.28 = 219,735.28 : x
  2. Step 2: Convert to fraction form
    98,813.67/219,735.28 = 219,735.28/x
  3. Step 3: Cross multiply
    98,813.67x = 219,735.28 × 219,735.28
  4. Step 4: Simplify right side
    98,813.67x = 48,283,593,826.02
  5. Step 5: Solve for x
    x = 48,283,593,826.02/98,813.67
  6. Step 6: Final answer
    x = 488,632.73

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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.