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Finding the Third Proportional to 98,183 and 205,114

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Solution

The third proportional to 98,183 and 205,114 is: 428,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183 : 205,114 = 205,114 : x
  2. Step 2: Convert to fraction form
    98,183/205,114 = 205,114/x
  3. Step 3: Cross multiply
    98,183x = 205,114 × 205,114
  4. Step 4: Simplify right side
    98,183x = 42,071,752,996
  5. Step 5: Solve for x
    x = 42,071,752,996/98,183
  6. Step 6: Final answer
    x = 428,503.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.