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Finding the Third Proportional to 96,590 and 203,668

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Solution

The third proportional to 96,590 and 203,668 is: 429,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,590 : 203,668 = 203,668 : x
  2. Step 2: Convert to fraction form
    96,590/203,668 = 203,668/x
  3. Step 3: Cross multiply
    96,590x = 203,668 × 203,668
  4. Step 4: Simplify right side
    96,590x = 41,480,654,224
  5. Step 5: Solve for x
    x = 41,480,654,224/96,590
  6. Step 6: Final answer
    x = 429,450.82

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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.