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Finding the Third Proportional to 98,161 and 203,612

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Solution

The third proportional to 98,161 and 203,612 is: 422,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,161 : 203,612 = 203,612 : x
  2. Step 2: Convert to fraction form
    98,161/203,612 = 203,612/x
  3. Step 3: Cross multiply
    98,161x = 203,612 × 203,612
  4. Step 4: Simplify right side
    98,161x = 41,457,846,544
  5. Step 5: Solve for x
    x = 41,457,846,544/98,161
  6. Step 6: Final answer
    x = 422,345.40

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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.