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Finding the Third Proportional to 96,376 and 204,416

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Solution

The third proportional to 96,376 and 204,416 is: 433,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376 : 204,416 = 204,416 : x
  2. Step 2: Convert to fraction form
    96,376/204,416 = 204,416/x
  3. Step 3: Cross multiply
    96,376x = 204,416 × 204,416
  4. Step 4: Simplify right side
    96,376x = 41,785,901,056
  5. Step 5: Solve for x
    x = 41,785,901,056/96,376
  6. Step 6: Final answer
    x = 433,571.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.