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Finding the Third Proportional to 48,397.88 and 106,110.75

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Solution

The third proportional to 48,397.88 and 106,110.75 is: 232,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,397.88 : 106,110.75 = 106,110.75 : x
  2. Step 2: Convert to fraction form
    48,397.88/106,110.75 = 106,110.75/x
  3. Step 3: Cross multiply
    48,397.88x = 106,110.75 × 106,110.75
  4. Step 4: Simplify right side
    48,397.88x = 11,259,491,265.56
  5. Step 5: Solve for x
    x = 11,259,491,265.56/48,397.88
  6. Step 6: Final answer
    x = 232,644.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.