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Finding the Third Proportional to 94,434.75 and 193,232.25

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Solution

The third proportional to 94,434.75 and 193,232.25 is: 395,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,434.75 : 193,232.25 = 193,232.25 : x
  2. Step 2: Convert to fraction form
    94,434.75/193,232.25 = 193,232.25/x
  3. Step 3: Cross multiply
    94,434.75x = 193,232.25 × 193,232.25
  4. Step 4: Simplify right side
    94,434.75x = 37,338,702,440.06
  5. Step 5: Solve for x
    x = 37,338,702,440.06/94,434.75
  6. Step 6: Final answer
    x = 395,391.55

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.