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Finding the Third Proportional to 47,289.75 and 103,793.25

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Solution

The third proportional to 47,289.75 and 103,793.25 is: 227,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,289.75 : 103,793.25 = 103,793.25 : x
  2. Step 2: Convert to fraction form
    47,289.75/103,793.25 = 103,793.25/x
  3. Step 3: Cross multiply
    47,289.75x = 103,793.25 × 103,793.25
  4. Step 4: Simplify right side
    47,289.75x = 10,773,038,745.56
  5. Step 5: Solve for x
    x = 10,773,038,745.56/47,289.75
  6. Step 6: Final answer
    x = 227,809.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.