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Finding the Third Proportional to 98,861 and 204,735

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Solution

The third proportional to 98,861 and 204,735 is: 423,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,861 : 204,735 = 204,735 : x
  2. Step 2: Convert to fraction form
    98,861/204,735 = 204,735/x
  3. Step 3: Cross multiply
    98,861x = 204,735 × 204,735
  4. Step 4: Simplify right side
    98,861x = 41,916,420,225
  5. Step 5: Solve for x
    x = 41,916,420,225/98,861
  6. Step 6: Final answer
    x = 423,993.49

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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.