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Finding the Third Proportional to 49,513.22 and 108,098.86

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Solution

The third proportional to 49,513.22 and 108,098.86 is: 236,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,513.22 : 108,098.86 = 108,098.86 : x
  2. Step 2: Convert to fraction form
    49,513.22/108,098.86 = 108,098.86/x
  3. Step 3: Cross multiply
    49,513.22x = 108,098.86 × 108,098.86
  4. Step 4: Simplify right side
    49,513.22x = 11,685,363,398.18
  5. Step 5: Solve for x
    x = 11,685,363,398.18/49,513.22
  6. Step 6: Final answer
    x = 236,004.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.