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Finding the Third Proportional to 47,537.44 and 101,822.63

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Solution

The third proportional to 47,537.44 and 101,822.63 is: 218,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537.44 : 101,822.63 = 101,822.63 : x
  2. Step 2: Convert to fraction form
    47,537.44/101,822.63 = 101,822.63/x
  3. Step 3: Cross multiply
    47,537.44x = 101,822.63 × 101,822.63
  4. Step 4: Simplify right side
    47,537.44x = 10,367,846,961.89
  5. Step 5: Solve for x
    x = 10,367,846,961.89/47,537.44
  6. Step 6: Final answer
    x = 218,098.57

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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.