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Finding the Third Proportional to 98,884 and 204,778

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Solution

The third proportional to 98,884 and 204,778 is: 424,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,884 : 204,778 = 204,778 : x
  2. Step 2: Convert to fraction form
    98,884/204,778 = 204,778/x
  3. Step 3: Cross multiply
    98,884x = 204,778 × 204,778
  4. Step 4: Simplify right side
    98,884x = 41,934,029,284
  5. Step 5: Solve for x
    x = 41,934,029,284/98,884
  6. Step 6: Final answer
    x = 424,072.95

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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.