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Finding the Third Proportional to 100,436.50 and 209,195

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Solution

The third proportional to 100,436.50 and 209,195 is: 435,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,436.50 : 209,195 = 209,195 : x
  2. Step 2: Convert to fraction form
    100,436.50/209,195 = 209,195/x
  3. Step 3: Cross multiply
    100,436.50x = 209,195 × 209,195
  4. Step 4: Simplify right side
    100,436.50x = 43,762,548,025
  5. Step 5: Solve for x
    x = 43,762,548,025/100,436.50
  6. Step 6: Final answer
    x = 435,723.55

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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.