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Finding the Third Proportional to 48,165.26 and 99,816.05

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Solution

The third proportional to 48,165.26 and 99,816.05 is: 206,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,165.26 : 99,816.05 = 99,816.05 : x
  2. Step 2: Convert to fraction form
    48,165.26/99,816.05 = 99,816.05/x
  3. Step 3: Cross multiply
    48,165.26x = 99,816.05 × 99,816.05
  4. Step 4: Simplify right side
    48,165.26x = 9,963,243,213.75
  5. Step 5: Solve for x
    x = 9,963,243,213.75/48,165.26
  6. Step 6: Final answer
    x = 206,855.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.