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Finding the Third Proportional to 47,109.94 and 102,517.31

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Solution

The third proportional to 47,109.94 and 102,517.31 is: 223,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.94 : 102,517.31 = 102,517.31 : x
  2. Step 2: Convert to fraction form
    47,109.94/102,517.31 = 102,517.31/x
  3. Step 3: Cross multiply
    47,109.94x = 102,517.31 × 102,517.31
  4. Step 4: Simplify right side
    47,109.94x = 10,509,799,362.22
  5. Step 5: Solve for x
    x = 10,509,799,362.22/47,109.94
  6. Step 6: Final answer
    x = 223,090.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.