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Finding the Third Proportional to 95,007.94 and 206,443.69

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Solution

The third proportional to 95,007.94 and 206,443.69 is: 448,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,007.94 : 206,443.69 = 206,443.69 : x
  2. Step 2: Convert to fraction form
    95,007.94/206,443.69 = 206,443.69/x
  3. Step 3: Cross multiply
    95,007.94x = 206,443.69 × 206,443.69
  4. Step 4: Simplify right side
    95,007.94x = 42,618,996,108.60
  5. Step 5: Solve for x
    x = 42,618,996,108.60/95,007.94
  6. Step 6: Final answer
    x = 448,583.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.