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Finding the Third Proportional to 98,493.47 and 150,599.25

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Solution

The third proportional to 98,493.47 and 150,599.25 is: 230,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,493.47 : 150,599.25 = 150,599.25 : x
  2. Step 2: Convert to fraction form
    98,493.47/150,599.25 = 150,599.25/x
  3. Step 3: Cross multiply
    98,493.47x = 150,599.25 × 150,599.25
  4. Step 4: Simplify right side
    98,493.47x = 22,680,134,100.56
  5. Step 5: Solve for x
    x = 22,680,134,100.56/98,493.47
  6. Step 6: Final answer
    x = 230,270.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.