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Finding the Third Proportional to 88,791 and 188,883

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Solution

The third proportional to 88,791 and 188,883 is: 401,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,791 : 188,883 = 188,883 : x
  2. Step 2: Convert to fraction form
    88,791/188,883 = 188,883/x
  3. Step 3: Cross multiply
    88,791x = 188,883 × 188,883
  4. Step 4: Simplify right side
    88,791x = 35,676,787,689
  5. Step 5: Solve for x
    x = 35,676,787,689/88,791
  6. Step 6: Final answer
    x = 401,806.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.