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Finding the Third Proportional to 48,931.50 and 107,979

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Solution

The third proportional to 48,931.50 and 107,979 is: 238,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,931.50 : 107,979 = 107,979 : x
  2. Step 2: Convert to fraction form
    48,931.50/107,979 = 107,979/x
  3. Step 3: Cross multiply
    48,931.50x = 107,979 × 107,979
  4. Step 4: Simplify right side
    48,931.50x = 11,659,464,441
  5. Step 5: Solve for x
    x = 11,659,464,441/48,931.50
  6. Step 6: Final answer
    x = 238,281.36

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.