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Finding the Third Proportional to 140,076.88 and 209,620.31

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Solution

The third proportional to 140,076.88 and 209,620.31 is: 313,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076.88 : 209,620.31 = 209,620.31 : x
  2. Step 2: Convert to fraction form
    140,076.88/209,620.31 = 209,620.31/x
  3. Step 3: Cross multiply
    140,076.88x = 209,620.31 × 209,620.31
  4. Step 4: Simplify right side
    140,076.88x = 43,940,675,412.60
  5. Step 5: Solve for x
    x = 43,940,675,412.60/140,076.88
  6. Step 6: Final answer
    x = 313,689.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.