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Finding the Third Proportional to 93,408.75 and 193,463.25

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Solution

The third proportional to 93,408.75 and 193,463.25 is: 400,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,408.75 : 193,463.25 = 193,463.25 : x
  2. Step 2: Convert to fraction form
    93,408.75/193,463.25 = 193,463.25/x
  3. Step 3: Cross multiply
    93,408.75x = 193,463.25 × 193,463.25
  4. Step 4: Simplify right side
    93,408.75x = 37,428,029,100.56
  5. Step 5: Solve for x
    x = 37,428,029,100.56/93,408.75
  6. Step 6: Final answer
    x = 400,690.83

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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.