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Finding the Third Proportional to 48,537.38 and 103,823.06

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Solution

The third proportional to 48,537.38 and 103,823.06 is: 222,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537.38 : 103,823.06 = 103,823.06 : x
  2. Step 2: Convert to fraction form
    48,537.38/103,823.06 = 103,823.06/x
  3. Step 3: Cross multiply
    48,537.38x = 103,823.06 × 103,823.06
  4. Step 4: Simplify right side
    48,537.38x = 10,779,228,306.88
  5. Step 5: Solve for x
    x = 10,779,228,306.88/48,537.38
  6. Step 6: Final answer
    x = 222,080.99

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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.