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Finding the Third Proportional to 92,463.75 and 199,383.75

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Solution

The third proportional to 92,463.75 and 199,383.75 is: 429,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,463.75 : 199,383.75 = 199,383.75 : x
  2. Step 2: Convert to fraction form
    92,463.75/199,383.75 = 199,383.75/x
  3. Step 3: Cross multiply
    92,463.75x = 199,383.75 × 199,383.75
  4. Step 4: Simplify right side
    92,463.75x = 39,753,879,764.06
  5. Step 5: Solve for x
    x = 39,753,879,764.06/92,463.75
  6. Step 6: Final answer
    x = 429,940.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.