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Finding the Third Proportional to 46,843.31 and 102,247.31

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Solution

The third proportional to 46,843.31 and 102,247.31 is: 223,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,843.31 : 102,247.31 = 102,247.31 : x
  2. Step 2: Convert to fraction form
    46,843.31/102,247.31 = 102,247.31/x
  3. Step 3: Cross multiply
    46,843.31x = 102,247.31 × 102,247.31
  4. Step 4: Simplify right side
    46,843.31x = 10,454,512,913.47
  5. Step 5: Solve for x
    x = 10,454,512,913.47/46,843.31
  6. Step 6: Final answer
    x = 223,180.48

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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.