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Finding the Third Proportional to 48,216.50 and 98,781.50

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Solution

The third proportional to 48,216.50 and 98,781.50 is: 202,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,216.50 : 98,781.50 = 98,781.50 : x
  2. Step 2: Convert to fraction form
    48,216.50/98,781.50 = 98,781.50/x
  3. Step 3: Cross multiply
    48,216.50x = 98,781.50 × 98,781.50
  4. Step 4: Simplify right side
    48,216.50x = 9,757,784,742.25
  5. Step 5: Solve for x
    x = 9,757,784,742.25/48,216.50
  6. Step 6: Final answer
    x = 202,374.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.