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Finding the Third Proportional to 45,583.25 and 98,456.50

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Solution

The third proportional to 45,583.25 and 98,456.50 is: 212,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,583.25 : 98,456.50 = 98,456.50 : x
  2. Step 2: Convert to fraction form
    45,583.25/98,456.50 = 98,456.50/x
  3. Step 3: Cross multiply
    45,583.25x = 98,456.50 × 98,456.50
  4. Step 4: Simplify right side
    45,583.25x = 9,693,682,392.25
  5. Step 5: Solve for x
    x = 9,693,682,392.25/45,583.25
  6. Step 6: Final answer
    x = 212,658.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.