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Finding the Third Proportional to 97,869 and 206,238

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Solution

The third proportional to 97,869 and 206,238 is: 434,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,869 : 206,238 = 206,238 : x
  2. Step 2: Convert to fraction form
    97,869/206,238 = 206,238/x
  3. Step 3: Cross multiply
    97,869x = 206,238 × 206,238
  4. Step 4: Simplify right side
    97,869x = 42,534,112,644
  5. Step 5: Solve for x
    x = 42,534,112,644/97,869
  6. Step 6: Final answer
    x = 434,602.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.