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Finding the Third Proportional to 46,990.13 and 101,251.27

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Solution

The third proportional to 46,990.13 and 101,251.27 is: 218,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990.13 : 101,251.27 = 101,251.27 : x
  2. Step 2: Convert to fraction form
    46,990.13/101,251.27 = 101,251.27/x
  3. Step 3: Cross multiply
    46,990.13x = 101,251.27 × 101,251.27
  4. Step 4: Simplify right side
    46,990.13x = 10,251,818,790.66
  5. Step 5: Solve for x
    x = 10,251,818,790.66/46,990.13
  6. Step 6: Final answer
    x = 218,169.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.