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Finding the Third Proportional to 47,876.06 and 104,143.22

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Solution

The third proportional to 47,876.06 and 104,143.22 is: 226,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.06 : 104,143.22 = 104,143.22 : x
  2. Step 2: Convert to fraction form
    47,876.06/104,143.22 = 104,143.22/x
  3. Step 3: Cross multiply
    47,876.06x = 104,143.22 × 104,143.22
  4. Step 4: Simplify right side
    47,876.06x = 10,845,810,011.61
  5. Step 5: Solve for x
    x = 10,845,810,011.61/47,876.06
  6. Step 6: Final answer
    x = 226,539.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.