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Finding the Third Proportional to 90,776.25 and 194,015.25

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Solution

The third proportional to 90,776.25 and 194,015.25 is: 414,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776.25 : 194,015.25 = 194,015.25 : x
  2. Step 2: Convert to fraction form
    90,776.25/194,015.25 = 194,015.25/x
  3. Step 3: Cross multiply
    90,776.25x = 194,015.25 × 194,015.25
  4. Step 4: Simplify right side
    90,776.25x = 37,641,917,232.56
  5. Step 5: Solve for x
    x = 37,641,917,232.56/90,776.25
  6. Step 6: Final answer
    x = 414,667.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.