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Finding the Third Proportional to 47,633.06 and 101,827.13

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Solution

The third proportional to 47,633.06 and 101,827.13 is: 217,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,633.06 : 101,827.13 = 101,827.13 : x
  2. Step 2: Convert to fraction form
    47,633.06/101,827.13 = 101,827.13/x
  3. Step 3: Cross multiply
    47,633.06x = 101,827.13 × 101,827.13
  4. Step 4: Simplify right side
    47,633.06x = 10,368,763,385.77
  5. Step 5: Solve for x
    x = 10,368,763,385.77/47,633.06
  6. Step 6: Final answer
    x = 217,679.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.