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Finding the Third Proportional to 88,148 and 195,916

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Solution

The third proportional to 88,148 and 195,916 is: 435,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,148 : 195,916 = 195,916 : x
  2. Step 2: Convert to fraction form
    88,148/195,916 = 195,916/x
  3. Step 3: Cross multiply
    88,148x = 195,916 × 195,916
  4. Step 4: Simplify right side
    88,148x = 38,383,079,056
  5. Step 5: Solve for x
    x = 38,383,079,056/88,148
  6. Step 6: Final answer
    x = 435,439.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.