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Finding the Third Proportional to 91,128.13 and 196,225.88

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Solution

The third proportional to 91,128.13 and 196,225.88 is: 422,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,128.13 : 196,225.88 = 196,225.88 : x
  2. Step 2: Convert to fraction form
    91,128.13/196,225.88 = 196,225.88/x
  3. Step 3: Cross multiply
    91,128.13x = 196,225.88 × 196,225.88
  4. Step 4: Simplify right side
    91,128.13x = 38,504,594,019.52
  5. Step 5: Solve for x
    x = 38,504,594,019.52/91,128.13
  6. Step 6: Final answer
    x = 422,532.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.