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Finding the Third Proportional to 93,795.75 and 194,150.25

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Solution

The third proportional to 93,795.75 and 194,150.25 is: 401,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,795.75 : 194,150.25 = 194,150.25 : x
  2. Step 2: Convert to fraction form
    93,795.75/194,150.25 = 194,150.25/x
  3. Step 3: Cross multiply
    93,795.75x = 194,150.25 × 194,150.25
  4. Step 4: Simplify right side
    93,795.75x = 37,694,319,575.06
  5. Step 5: Solve for x
    x = 37,694,319,575.06/93,795.75
  6. Step 6: Final answer
    x = 401,876.63

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