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Finding the Third Proportional to 49,348.69 and 106,588.69

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Solution

The third proportional to 49,348.69 and 106,588.69 is: 230,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,348.69 : 106,588.69 = 106,588.69 : x
  2. Step 2: Convert to fraction form
    49,348.69/106,588.69 = 106,588.69/x
  3. Step 3: Cross multiply
    49,348.69x = 106,588.69 × 106,588.69
  4. Step 4: Simplify right side
    49,348.69x = 11,361,148,302.97
  5. Step 5: Solve for x
    x = 11,361,148,302.97/49,348.69
  6. Step 6: Final answer
    x = 230,221.89

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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.