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Finding the Third Proportional to 98,516 and 204,039

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Solution

The third proportional to 98,516 and 204,039 is: 422,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516 : 204,039 = 204,039 : x
  2. Step 2: Convert to fraction form
    98,516/204,039 = 204,039/x
  3. Step 3: Cross multiply
    98,516x = 204,039 × 204,039
  4. Step 4: Simplify right side
    98,516x = 41,631,913,521
  5. Step 5: Solve for x
    x = 41,631,913,521/98,516
  6. Step 6: Final answer
    x = 422,590.38

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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.