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Finding the Third Proportional to 47,729.67 and 94,255.10

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Solution

The third proportional to 47,729.67 and 94,255.10 is: 186,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,729.67 : 94,255.10 = 94,255.10 : x
  2. Step 2: Convert to fraction form
    47,729.67/94,255.10 = 94,255.10/x
  3. Step 3: Cross multiply
    47,729.67x = 94,255.10 × 94,255.10
  4. Step 4: Simplify right side
    47,729.67x = 8,884,024,170.56
  5. Step 5: Solve for x
    x = 8,884,024,170.56/47,729.67
  6. Step 6: Final answer
    x = 186,132.10

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.