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Finding the Third Proportional to 209,098.13 and 445,169.25

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Solution

The third proportional to 209,098.13 and 445,169.25 is: 947,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,098.13 : 445,169.25 = 445,169.25 : x
  2. Step 2: Convert to fraction form
    209,098.13/445,169.25 = 445,169.25/x
  3. Step 3: Cross multiply
    209,098.13x = 445,169.25 × 445,169.25
  4. Step 4: Simplify right side
    209,098.13x = 198,175,661,145.56
  5. Step 5: Solve for x
    x = 198,175,661,145.56/209,098.13
  6. Step 6: Final answer
    x = 947,763.93

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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.