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Finding the Third Proportional to 48,805.03 and 104,869.69

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Solution

The third proportional to 48,805.03 and 104,869.69 is: 225,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,805.03 : 104,869.69 = 104,869.69 : x
  2. Step 2: Convert to fraction form
    48,805.03/104,869.69 = 104,869.69/x
  3. Step 3: Cross multiply
    48,805.03x = 104,869.69 × 104,869.69
  4. Step 4: Simplify right side
    48,805.03x = 10,997,651,356.35
  5. Step 5: Solve for x
    x = 10,997,651,356.35/48,805.03
  6. Step 6: Final answer
    x = 225,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.