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Finding the Third Proportional to 48,537.25 and 103,822.88

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Solution

The third proportional to 48,537.25 and 103,822.88 is: 222,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537.25 : 103,822.88 = 103,822.88 : x
  2. Step 2: Convert to fraction form
    48,537.25/103,822.88 = 103,822.88/x
  3. Step 3: Cross multiply
    48,537.25x = 103,822.88 × 103,822.88
  4. Step 4: Simplify right side
    48,537.25x = 10,779,189,373.27
  5. Step 5: Solve for x
    x = 10,779,189,373.27/48,537.25
  6. Step 6: Final answer
    x = 222,080.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.