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Finding the Third Proportional to 47,724.19 and 94,243.22

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Solution

The third proportional to 47,724.19 and 94,243.22 is: 186,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,724.19 : 94,243.22 = 94,243.22 : x
  2. Step 2: Convert to fraction form
    47,724.19/94,243.22 = 94,243.22/x
  3. Step 3: Cross multiply
    47,724.19x = 94,243.22 × 94,243.22
  4. Step 4: Simplify right side
    47,724.19x = 8,881,784,280.36
  5. Step 5: Solve for x
    x = 8,881,784,280.36/47,724.19
  6. Step 6: Final answer
    x = 186,106.56

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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.