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Finding the Third Proportional to 47,420.44 and 103,583.81

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Solution

The third proportional to 47,420.44 and 103,583.81 is: 226,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,420.44 : 103,583.81 = 103,583.81 : x
  2. Step 2: Convert to fraction form
    47,420.44/103,583.81 = 103,583.81/x
  3. Step 3: Cross multiply
    47,420.44x = 103,583.81 × 103,583.81
  4. Step 4: Simplify right side
    47,420.44x = 10,729,606,212.04
  5. Step 5: Solve for x
    x = 10,729,606,212.04/47,420.44
  6. Step 6: Final answer
    x = 226,265.44

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Why These Related Problems?

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