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Finding the Third Proportional to 68,917.88 and 148,400.63

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Solution

The third proportional to 68,917.88 and 148,400.63 is: 319,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,917.88 : 148,400.63 = 148,400.63 : x
  2. Step 2: Convert to fraction form
    68,917.88/148,400.63 = 148,400.63/x
  3. Step 3: Cross multiply
    68,917.88x = 148,400.63 × 148,400.63
  4. Step 4: Simplify right side
    68,917.88x = 22,022,745,500.39
  5. Step 5: Solve for x
    x = 22,022,745,500.39/68,917.88
  6. Step 6: Final answer
    x = 319,550.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.