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Finding the Third Proportional to 48,388.50 and 98,721

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Solution

The third proportional to 48,388.50 and 98,721 is: 201,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,388.50 : 98,721 = 98,721 : x
  2. Step 2: Convert to fraction form
    48,388.50/98,721 = 98,721/x
  3. Step 3: Cross multiply
    48,388.50x = 98,721 × 98,721
  4. Step 4: Simplify right side
    48,388.50x = 9,745,835,841
  5. Step 5: Solve for x
    x = 9,745,835,841/48,388.50
  6. Step 6: Final answer
    x = 201,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.