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Finding the Third Proportional to 88,869 and 192,804

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Solution

The third proportional to 88,869 and 192,804 is: 418,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,869 : 192,804 = 192,804 : x
  2. Step 2: Convert to fraction form
    88,869/192,804 = 192,804/x
  3. Step 3: Cross multiply
    88,869x = 192,804 × 192,804
  4. Step 4: Simplify right side
    88,869x = 37,173,382,416
  5. Step 5: Solve for x
    x = 37,173,382,416/88,869
  6. Step 6: Final answer
    x = 418,294.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.