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Finding the Third Proportional to 98,878.50 and 204,767

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Solution

The third proportional to 98,878.50 and 204,767 is: 424,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878.50 : 204,767 = 204,767 : x
  2. Step 2: Convert to fraction form
    98,878.50/204,767 = 204,767/x
  3. Step 3: Cross multiply
    98,878.50x = 204,767 × 204,767
  4. Step 4: Simplify right side
    98,878.50x = 41,929,524,289
  5. Step 5: Solve for x
    x = 41,929,524,289/98,878.50
  6. Step 6: Final answer
    x = 424,050.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.