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Finding the Third Proportional to 48,404.25 and 104,456.25

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Solution

The third proportional to 48,404.25 and 104,456.25 is: 225,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,404.25 : 104,456.25 = 104,456.25 : x
  2. Step 2: Convert to fraction form
    48,404.25/104,456.25 = 104,456.25/x
  3. Step 3: Cross multiply
    48,404.25x = 104,456.25 × 104,456.25
  4. Step 4: Simplify right side
    48,404.25x = 10,911,108,164.06
  5. Step 5: Solve for x
    x = 10,911,108,164.06/48,404.25
  6. Step 6: Final answer
    x = 225,416.33

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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.