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Finding the Third Proportional to 98,277 and 204,328.50

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Solution

The third proportional to 98,277 and 204,328.50 is: 424,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277 : 204,328.50 = 204,328.50 : x
  2. Step 2: Convert to fraction form
    98,277/204,328.50 = 204,328.50/x
  3. Step 3: Cross multiply
    98,277x = 204,328.50 × 204,328.50
  4. Step 4: Simplify right side
    98,277x = 41,750,135,912.25
  5. Step 5: Solve for x
    x = 41,750,135,912.25/98,277
  6. Step 6: Final answer
    x = 424,821.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.