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Finding the Third Proportional to 47,660.06 and 101,653.31

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Solution

The third proportional to 47,660.06 and 101,653.31 is: 216,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660.06 : 101,653.31 = 101,653.31 : x
  2. Step 2: Convert to fraction form
    47,660.06/101,653.31 = 101,653.31/x
  3. Step 3: Cross multiply
    47,660.06x = 101,653.31 × 101,653.31
  4. Step 4: Simplify right side
    47,660.06x = 10,333,395,942.22
  5. Step 5: Solve for x
    x = 10,333,395,942.22/47,660.06
  6. Step 6: Final answer
    x = 216,814.57

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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.