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Finding the Third Proportional to 48,265.88 and 101,498.06

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Solution

The third proportional to 48,265.88 and 101,498.06 is: 213,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,265.88 : 101,498.06 = 101,498.06 : x
  2. Step 2: Convert to fraction form
    48,265.88/101,498.06 = 101,498.06/x
  3. Step 3: Cross multiply
    48,265.88x = 101,498.06 × 101,498.06
  4. Step 4: Simplify right side
    48,265.88x = 10,301,856,691.25
  5. Step 5: Solve for x
    x = 10,301,856,691.25/48,265.88
  6. Step 6: Final answer
    x = 213,439.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.