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Finding the Third Proportional to 47,607.75 and 101,548.69

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Solution

The third proportional to 47,607.75 and 101,548.69 is: 216,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,607.75 : 101,548.69 = 101,548.69 : x
  2. Step 2: Convert to fraction form
    47,607.75/101,548.69 = 101,548.69/x
  3. Step 3: Cross multiply
    47,607.75x = 101,548.69 × 101,548.69
  4. Step 4: Simplify right side
    47,607.75x = 10,312,135,932.97
  5. Step 5: Solve for x
    x = 10,312,135,932.97/47,607.75
  6. Step 6: Final answer
    x = 216,606.24

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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.