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Finding the Third Proportional to 99,156 and 203,144

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Solution

The third proportional to 99,156 and 203,144 is: 416,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,156 : 203,144 = 203,144 : x
  2. Step 2: Convert to fraction form
    99,156/203,144 = 203,144/x
  3. Step 3: Cross multiply
    99,156x = 203,144 × 203,144
  4. Step 4: Simplify right side
    99,156x = 41,267,484,736
  5. Step 5: Solve for x
    x = 41,267,484,736/99,156
  6. Step 6: Final answer
    x = 416,187.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.