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Finding the Third Proportional to 49,609.50 and 108,854.06

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Solution

The third proportional to 49,609.50 and 108,854.06 is: 238,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609.50 : 108,854.06 = 108,854.06 : x
  2. Step 2: Convert to fraction form
    49,609.50/108,854.06 = 108,854.06/x
  3. Step 3: Cross multiply
    49,609.50x = 108,854.06 × 108,854.06
  4. Step 4: Simplify right side
    49,609.50x = 11,849,206,922.75
  5. Step 5: Solve for x
    x = 11,849,206,922.75/49,609.50
  6. Step 6: Final answer
    x = 238,849.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.