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Finding the Third Proportional to 49,470.75 and 106,899.75

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Solution

The third proportional to 49,470.75 and 106,899.75 is: 230,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,470.75 : 106,899.75 = 106,899.75 : x
  2. Step 2: Convert to fraction form
    49,470.75/106,899.75 = 106,899.75/x
  3. Step 3: Cross multiply
    49,470.75x = 106,899.75 × 106,899.75
  4. Step 4: Simplify right side
    49,470.75x = 11,427,556,550.06
  5. Step 5: Solve for x
    x = 11,427,556,550.06/49,470.75
  6. Step 6: Final answer
    x = 230,996.23

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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.