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Finding the Third Proportional to 49,359.94 and 106,600.31

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Solution

The third proportional to 49,359.94 and 106,600.31 is: 230,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,359.94 : 106,600.31 = 106,600.31 : x
  2. Step 2: Convert to fraction form
    49,359.94/106,600.31 = 106,600.31/x
  3. Step 3: Cross multiply
    49,359.94x = 106,600.31 × 106,600.31
  4. Step 4: Simplify right side
    49,359.94x = 11,363,626,625.10
  5. Step 5: Solve for x
    x = 11,363,626,625.10/49,359.94
  6. Step 6: Final answer
    x = 230,219.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.