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Finding the Third Proportional to 89,706 and 193,236

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Solution

The third proportional to 89,706 and 193,236 is: 416,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706 : 193,236 = 193,236 : x
  2. Step 2: Convert to fraction form
    89,706/193,236 = 193,236/x
  3. Step 3: Cross multiply
    89,706x = 193,236 × 193,236
  4. Step 4: Simplify right side
    89,706x = 37,340,151,696
  5. Step 5: Solve for x
    x = 37,340,151,696/89,706
  6. Step 6: Final answer
    x = 416,250.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.