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Finding the Third Proportional to 48,104.75 and 103,214.75

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Solution

The third proportional to 48,104.75 and 103,214.75 is: 221,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,104.75 : 103,214.75 = 103,214.75 : x
  2. Step 2: Convert to fraction form
    48,104.75/103,214.75 = 103,214.75/x
  3. Step 3: Cross multiply
    48,104.75x = 103,214.75 × 103,214.75
  4. Step 4: Simplify right side
    48,104.75x = 10,653,284,617.56
  5. Step 5: Solve for x
    x = 10,653,284,617.56/48,104.75
  6. Step 6: Final answer
    x = 221,460.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.