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Finding the Third Proportional to 49,708.69 and 108,666.56

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Solution

The third proportional to 49,708.69 and 108,666.56 is: 237,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,708.69 : 108,666.56 = 108,666.56 : x
  2. Step 2: Convert to fraction form
    49,708.69/108,666.56 = 108,666.56/x
  3. Step 3: Cross multiply
    49,708.69x = 108,666.56 × 108,666.56
  4. Step 4: Simplify right side
    49,708.69x = 11,808,421,805.57
  5. Step 5: Solve for x
    x = 11,808,421,805.57/49,708.69
  6. Step 6: Final answer
    x = 237,552.48

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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.