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Finding the Third Proportional to 93,863.06 and 194,376.56

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Solution

The third proportional to 93,863.06 and 194,376.56 is: 402,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,863.06 : 194,376.56 = 194,376.56 : x
  2. Step 2: Convert to fraction form
    93,863.06/194,376.56 = 194,376.56/x
  3. Step 3: Cross multiply
    93,863.06x = 194,376.56 × 194,376.56
  4. Step 4: Simplify right side
    93,863.06x = 37,782,248,049.32
  5. Step 5: Solve for x
    x = 37,782,248,049.32/93,863.06
  6. Step 6: Final answer
    x = 402,525.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.