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Finding the Third Proportional to 96,724.50 and 213,063

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Solution

The third proportional to 96,724.50 and 213,063 is: 469,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,724.50 : 213,063 = 213,063 : x
  2. Step 2: Convert to fraction form
    96,724.50/213,063 = 213,063/x
  3. Step 3: Cross multiply
    96,724.50x = 213,063 × 213,063
  4. Step 4: Simplify right side
    96,724.50x = 45,395,841,969
  5. Step 5: Solve for x
    x = 45,395,841,969/96,724.50
  6. Step 6: Final answer
    x = 469,331.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.