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Finding the Third Proportional to 47,646.56 and 101,626.31

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Solution

The third proportional to 47,646.56 and 101,626.31 is: 216,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646.56 : 101,626.31 = 101,626.31 : x
  2. Step 2: Convert to fraction form
    47,646.56/101,626.31 = 101,626.31/x
  3. Step 3: Cross multiply
    47,646.56x = 101,626.31 × 101,626.31
  4. Step 4: Simplify right side
    47,646.56x = 10,327,907,392.35
  5. Step 5: Solve for x
    x = 10,327,907,392.35/47,646.56
  6. Step 6: Final answer
    x = 216,760.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.