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Finding the Third Proportional to 100,433.25 and 209,188.41

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Solution

The third proportional to 100,433.25 and 209,188.41 is: 435,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433.25 : 209,188.41 = 209,188.41 : x
  2. Step 2: Convert to fraction form
    100,433.25/209,188.41 = 209,188.41/x
  3. Step 3: Cross multiply
    100,433.25x = 209,188.41 × 209,188.41
  4. Step 4: Simplify right side
    100,433.25x = 43,759,789,309.42
  5. Step 5: Solve for x
    x = 43,759,789,309.42/100,433.25
  6. Step 6: Final answer
    x = 435,710.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.