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Finding the Third Proportional to 96,548 and 201,916

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Solution

The third proportional to 96,548 and 201,916 is: 422,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,548 : 201,916 = 201,916 : x
  2. Step 2: Convert to fraction form
    96,548/201,916 = 201,916/x
  3. Step 3: Cross multiply
    96,548x = 201,916 × 201,916
  4. Step 4: Simplify right side
    96,548x = 40,770,071,056
  5. Step 5: Solve for x
    x = 40,770,071,056/96,548
  6. Step 6: Final answer
    x = 422,277.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.