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Finding the Third Proportional to 48,796.50 and 99,717

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Solution

The third proportional to 48,796.50 and 99,717 is: 203,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,796.50 : 99,717 = 99,717 : x
  2. Step 2: Convert to fraction form
    48,796.50/99,717 = 99,717/x
  3. Step 3: Cross multiply
    48,796.50x = 99,717 × 99,717
  4. Step 4: Simplify right side
    48,796.50x = 9,943,480,089
  5. Step 5: Solve for x
    x = 9,943,480,089/48,796.50
  6. Step 6: Final answer
    x = 203,774.45

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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.