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Finding the Third Proportional to 88,837 and 189,885

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Solution

The third proportional to 88,837 and 189,885 is: 405,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,837 : 189,885 = 189,885 : x
  2. Step 2: Convert to fraction form
    88,837/189,885 = 189,885/x
  3. Step 3: Cross multiply
    88,837x = 189,885 × 189,885
  4. Step 4: Simplify right side
    88,837x = 36,056,313,225
  5. Step 5: Solve for x
    x = 36,056,313,225/88,837
  6. Step 6: Final answer
    x = 405,870.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.