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Finding the Third Proportional to 95,194.31 and 209,069.44

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Solution

The third proportional to 95,194.31 and 209,069.44 is: 459,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,194.31 : 209,069.44 = 209,069.44 : x
  2. Step 2: Convert to fraction form
    95,194.31/209,069.44 = 209,069.44/x
  3. Step 3: Cross multiply
    95,194.31x = 209,069.44 × 209,069.44
  4. Step 4: Simplify right side
    95,194.31x = 43,710,029,696.57
  5. Step 5: Solve for x
    x = 43,710,029,696.57/95,194.31
  6. Step 6: Final answer
    x = 459,166.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.