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Finding the Third Proportional to 96,584 and 203,656

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Solution

The third proportional to 96,584 and 203,656 is: 429,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584 : 203,656 = 203,656 : x
  2. Step 2: Convert to fraction form
    96,584/203,656 = 203,656/x
  3. Step 3: Cross multiply
    96,584x = 203,656 × 203,656
  4. Step 4: Simplify right side
    96,584x = 41,475,766,336
  5. Step 5: Solve for x
    x = 41,475,766,336/96,584
  6. Step 6: Final answer
    x = 429,426.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.