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Finding the Third Proportional to 48,115.13 and 105,661.69

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Solution

The third proportional to 48,115.13 and 105,661.69 is: 232,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,115.13 : 105,661.69 = 105,661.69 : x
  2. Step 2: Convert to fraction form
    48,115.13/105,661.69 = 105,661.69/x
  3. Step 3: Cross multiply
    48,115.13x = 105,661.69 × 105,661.69
  4. Step 4: Simplify right side
    48,115.13x = 11,164,392,205.35
  5. Step 5: Solve for x
    x = 11,164,392,205.35/48,115.13
  6. Step 6: Final answer
    x = 232,034.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.