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Finding the Third Proportional to 47,892.19 and 104,074.31

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Solution

The third proportional to 47,892.19 and 104,074.31 is: 226,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.19 : 104,074.31 = 104,074.31 : x
  2. Step 2: Convert to fraction form
    47,892.19/104,074.31 = 104,074.31/x
  3. Step 3: Cross multiply
    47,892.19x = 104,074.31 × 104,074.31
  4. Step 4: Simplify right side
    47,892.19x = 10,831,462,522.35
  5. Step 5: Solve for x
    x = 10,831,462,522.35/47,892.19
  6. Step 6: Final answer
    x = 226,163.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.