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Finding the Third Proportional to 101,023.88 and 155,327.34

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Solution

The third proportional to 101,023.88 and 155,327.34 is: 238,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,023.88 : 155,327.34 = 155,327.34 : x
  2. Step 2: Convert to fraction form
    101,023.88/155,327.34 = 155,327.34/x
  3. Step 3: Cross multiply
    101,023.88x = 155,327.34 × 155,327.34
  4. Step 4: Simplify right side
    101,023.88x = 24,126,583,716.43
  5. Step 5: Solve for x
    x = 24,126,583,716.43/101,023.88
  6. Step 6: Final answer
    x = 238,820.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.