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Finding the Third Proportional to 100,581.75 and 209,347.03

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Solution

The third proportional to 100,581.75 and 209,347.03 is: 435,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.75 : 209,347.03 = 209,347.03 : x
  2. Step 2: Convert to fraction form
    100,581.75/209,347.03 = 209,347.03/x
  3. Step 3: Cross multiply
    100,581.75x = 209,347.03 × 209,347.03
  4. Step 4: Simplify right side
    100,581.75x = 43,826,179,493.19
  5. Step 5: Solve for x
    x = 43,826,179,493.19/100,581.75
  6. Step 6: Final answer
    x = 435,726.95

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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.