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Finding the Third Proportional to 96,000.19 and 204,256.69

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Solution

The third proportional to 96,000.19 and 204,256.69 is: 434,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.19 : 204,256.69 = 204,256.69 : x
  2. Step 2: Convert to fraction form
    96,000.19/204,256.69 = 204,256.69/x
  3. Step 3: Cross multiply
    96,000.19x = 204,256.69 × 204,256.69
  4. Step 4: Simplify right side
    96,000.19x = 41,720,794,388.47
  5. Step 5: Solve for x
    x = 41,720,794,388.47/96,000.19
  6. Step 6: Final answer
    x = 434,590.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.