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Finding the Third Proportional to 94,586.25 and 197,933.25

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Solution

The third proportional to 94,586.25 and 197,933.25 is: 414,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,586.25 : 197,933.25 = 197,933.25 : x
  2. Step 2: Convert to fraction form
    94,586.25/197,933.25 = 197,933.25/x
  3. Step 3: Cross multiply
    94,586.25x = 197,933.25 × 197,933.25
  4. Step 4: Simplify right side
    94,586.25x = 39,177,571,455.56
  5. Step 5: Solve for x
    x = 39,177,571,455.56/94,586.25
  6. Step 6: Final answer
    x = 414,199.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.