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Finding the Third Proportional to 96,601.36 and 206,038.69

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Solution

The third proportional to 96,601.36 and 206,038.69 is: 439,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,601.36 : 206,038.69 = 206,038.69 : x
  2. Step 2: Convert to fraction form
    96,601.36/206,038.69 = 206,038.69/x
  3. Step 3: Cross multiply
    96,601.36x = 206,038.69 × 206,038.69
  4. Step 4: Simplify right side
    96,601.36x = 42,451,940,746.72
  5. Step 5: Solve for x
    x = 42,451,940,746.72/96,601.36
  6. Step 6: Final answer
    x = 439,454.90

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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.