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Finding the Third Proportional to 96,936 and 202,656

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Solution

The third proportional to 96,936 and 202,656 is: 423,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,936 : 202,656 = 202,656 : x
  2. Step 2: Convert to fraction form
    96,936/202,656 = 202,656/x
  3. Step 3: Cross multiply
    96,936x = 202,656 × 202,656
  4. Step 4: Simplify right side
    96,936x = 41,069,454,336
  5. Step 5: Solve for x
    x = 41,069,454,336/96,936
  6. Step 6: Final answer
    x = 423,675.98

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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.