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Finding the Third Proportional to 207,091.69 and 223,858.69

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Solution

The third proportional to 207,091.69 and 223,858.69 is: 241,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,091.69 : 223,858.69 = 223,858.69 : x
  2. Step 2: Convert to fraction form
    207,091.69/223,858.69 = 223,858.69/x
  3. Step 3: Cross multiply
    207,091.69x = 223,858.69 × 223,858.69
  4. Step 4: Simplify right side
    207,091.69x = 50,112,711,969.22
  5. Step 5: Solve for x
    x = 50,112,711,969.22/207,091.69
  6. Step 6: Final answer
    x = 241,983.21

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.