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Finding the Third Proportional to 47,117.81 and 101,616.47

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Solution

The third proportional to 47,117.81 and 101,616.47 is: 219,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117.81 : 101,616.47 = 101,616.47 : x
  2. Step 2: Convert to fraction form
    47,117.81/101,616.47 = 101,616.47/x
  3. Step 3: Cross multiply
    47,117.81x = 101,616.47 × 101,616.47
  4. Step 4: Simplify right side
    47,117.81x = 10,325,906,721.22
  5. Step 5: Solve for x
    x = 10,325,906,721.22/47,117.81
  6. Step 6: Final answer
    x = 219,150.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.