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Finding the Third Proportional to 98,683 and 150,481.50

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Solution

The third proportional to 98,683 and 150,481.50 is: 229,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683 : 150,481.50 = 150,481.50 : x
  2. Step 2: Convert to fraction form
    98,683/150,481.50 = 150,481.50/x
  3. Step 3: Cross multiply
    98,683x = 150,481.50 × 150,481.50
  4. Step 4: Simplify right side
    98,683x = 22,644,681,842.25
  5. Step 5: Solve for x
    x = 22,644,681,842.25/98,683
  6. Step 6: Final answer
    x = 229,468.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.