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Finding the Third Proportional to 45,204.75 and 94,540.50

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Solution

The third proportional to 45,204.75 and 94,540.50 is: 197,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,204.75 : 94,540.50 = 94,540.50 : x
  2. Step 2: Convert to fraction form
    45,204.75/94,540.50 = 94,540.50/x
  3. Step 3: Cross multiply
    45,204.75x = 94,540.50 × 94,540.50
  4. Step 4: Simplify right side
    45,204.75x = 8,937,906,140.25
  5. Step 5: Solve for x
    x = 8,937,906,140.25/45,204.75
  6. Step 6: Final answer
    x = 197,720.51

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