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Finding the Third Proportional to 48,011.48 and 103,378.22

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Solution

The third proportional to 48,011.48 and 103,378.22 is: 222,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,011.48 : 103,378.22 = 103,378.22 : x
  2. Step 2: Convert to fraction form
    48,011.48/103,378.22 = 103,378.22/x
  3. Step 3: Cross multiply
    48,011.48x = 103,378.22 × 103,378.22
  4. Step 4: Simplify right side
    48,011.48x = 10,687,056,111.92
  5. Step 5: Solve for x
    x = 10,687,056,111.92/48,011.48
  6. Step 6: Final answer
    x = 222,593.75

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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.