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Finding the Third Proportional to 48,475.13 and 101,364.75

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Solution

The third proportional to 48,475.13 and 101,364.75 is: 211,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,475.13 : 101,364.75 = 101,364.75 : x
  2. Step 2: Convert to fraction form
    48,475.13/101,364.75 = 101,364.75/x
  3. Step 3: Cross multiply
    48,475.13x = 101,364.75 × 101,364.75
  4. Step 4: Simplify right side
    48,475.13x = 10,274,812,542.56
  5. Step 5: Solve for x
    x = 10,274,812,542.56/48,475.13
  6. Step 6: Final answer
    x = 211,960.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.