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Finding the Third Proportional to 93,725.86 and 204,082.03

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Solution

The third proportional to 93,725.86 and 204,082.03 is: 444,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,725.86 : 204,082.03 = 204,082.03 : x
  2. Step 2: Convert to fraction form
    93,725.86/204,082.03 = 204,082.03/x
  3. Step 3: Cross multiply
    93,725.86x = 204,082.03 × 204,082.03
  4. Step 4: Simplify right side
    93,725.86x = 41,649,475,479.13
  5. Step 5: Solve for x
    x = 41,649,475,479.13/93,725.86
  6. Step 6: Final answer
    x = 444,375.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.