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Finding the Third Proportional to 96,092.25 and 206,946.38

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Solution

The third proportional to 96,092.25 and 206,946.38 is: 445,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,092.25 : 206,946.38 = 206,946.38 : x
  2. Step 2: Convert to fraction form
    96,092.25/206,946.38 = 206,946.38/x
  3. Step 3: Cross multiply
    96,092.25x = 206,946.38 × 206,946.38
  4. Step 4: Simplify right side
    96,092.25x = 42,826,802,125.64
  5. Step 5: Solve for x
    x = 42,826,802,125.64/96,092.25
  6. Step 6: Final answer
    x = 445,684.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.