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Finding the Third Proportional to 100,488.75 and 209,246.75

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Solution

The third proportional to 100,488.75 and 209,246.75 is: 435,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,488.75 : 209,246.75 = 209,246.75 : x
  2. Step 2: Convert to fraction form
    100,488.75/209,246.75 = 209,246.75/x
  3. Step 3: Cross multiply
    100,488.75x = 209,246.75 × 209,246.75
  4. Step 4: Simplify right side
    100,488.75x = 43,784,202,385.56
  5. Step 5: Solve for x
    x = 43,784,202,385.56/100,488.75
  6. Step 6: Final answer
    x = 435,712.48

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