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Finding the Third Proportional to 209,100.38 and 445,173.75

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Solution

The third proportional to 209,100.38 and 445,173.75 is: 947,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100.38 : 445,173.75 = 445,173.75 : x
  2. Step 2: Convert to fraction form
    209,100.38/445,173.75 = 445,173.75/x
  3. Step 3: Cross multiply
    209,100.38x = 445,173.75 × 445,173.75
  4. Step 4: Simplify right side
    209,100.38x = 198,179,667,689.06
  5. Step 5: Solve for x
    x = 198,179,667,689.06/209,100.38
  6. Step 6: Final answer
    x = 947,772.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.