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Finding the Third Proportional to 47,450.81 and 100,191.94

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Solution

The third proportional to 47,450.81 and 100,191.94 is: 211,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,450.81 : 100,191.94 = 100,191.94 : x
  2. Step 2: Convert to fraction form
    47,450.81/100,191.94 = 100,191.94/x
  3. Step 3: Cross multiply
    47,450.81x = 100,191.94 × 100,191.94
  4. Step 4: Simplify right side
    47,450.81x = 10,038,424,340.00
  5. Step 5: Solve for x
    x = 10,038,424,340.00/47,450.81
  6. Step 6: Final answer
    x = 211,554.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.