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Finding the Third Proportional to 93,639.38 and 206,366.06

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Solution

The third proportional to 93,639.38 and 206,366.06 is: 454,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,639.38 : 206,366.06 = 206,366.06 : x
  2. Step 2: Convert to fraction form
    93,639.38/206,366.06 = 206,366.06/x
  3. Step 3: Cross multiply
    93,639.38x = 206,366.06 × 206,366.06
  4. Step 4: Simplify right side
    93,639.38x = 42,586,951,751.75
  5. Step 5: Solve for x
    x = 42,586,951,751.75/93,639.38
  6. Step 6: Final answer
    x = 454,797.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.