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Finding the Third Proportional to 100,133.44 and 154,994.25

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Solution

The third proportional to 100,133.44 and 154,994.25 is: 239,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,133.44 : 154,994.25 = 154,994.25 : x
  2. Step 2: Convert to fraction form
    100,133.44/154,994.25 = 154,994.25/x
  3. Step 3: Cross multiply
    100,133.44x = 154,994.25 × 154,994.25
  4. Step 4: Simplify right side
    100,133.44x = 24,023,217,533.06
  5. Step 5: Solve for x
    x = 24,023,217,533.06/100,133.44
  6. Step 6: Final answer
    x = 239,912.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.