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Finding the Third Proportional to 98,774.44 and 216,363.66

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Solution

The third proportional to 98,774.44 and 216,363.66 is: 473,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774.44 : 216,363.66 = 216,363.66 : x
  2. Step 2: Convert to fraction form
    98,774.44/216,363.66 = 216,363.66/x
  3. Step 3: Cross multiply
    98,774.44x = 216,363.66 × 216,363.66
  4. Step 4: Simplify right side
    98,774.44x = 46,813,231,745.87
  5. Step 5: Solve for x
    x = 46,813,231,745.87/98,774.44
  6. Step 6: Final answer
    x = 473,940.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.