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Finding the Third Proportional to 49,636.13 and 108,020.25

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Solution

The third proportional to 49,636.13 and 108,020.25 is: 235,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,636.13 : 108,020.25 = 108,020.25 : x
  2. Step 2: Convert to fraction form
    49,636.13/108,020.25 = 108,020.25/x
  3. Step 3: Cross multiply
    49,636.13x = 108,020.25 × 108,020.25
  4. Step 4: Simplify right side
    49,636.13x = 11,668,374,410.06
  5. Step 5: Solve for x
    x = 11,668,374,410.06/49,636.13
  6. Step 6: Final answer
    x = 235,078.27

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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.