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Finding the Third Proportional to 47,113.88 and 102,538.13

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Solution

The third proportional to 47,113.88 and 102,538.13 is: 223,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,113.88 : 102,538.13 = 102,538.13 : x
  2. Step 2: Convert to fraction form
    47,113.88/102,538.13 = 102,538.13/x
  3. Step 3: Cross multiply
    47,113.88x = 102,538.13 × 102,538.13
  4. Step 4: Simplify right side
    47,113.88x = 10,514,067,078.52
  5. Step 5: Solve for x
    x = 10,514,067,078.52/47,113.88
  6. Step 6: Final answer
    x = 223,162.86

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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.