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Finding the Third Proportional to 103,983.75 and 154,446.75

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Solution

The third proportional to 103,983.75 and 154,446.75 is: 229,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983.75 : 154,446.75 = 154,446.75 : x
  2. Step 2: Convert to fraction form
    103,983.75/154,446.75 = 154,446.75/x
  3. Step 3: Cross multiply
    103,983.75x = 154,446.75 × 154,446.75
  4. Step 4: Simplify right side
    103,983.75x = 23,853,798,585.56
  5. Step 5: Solve for x
    x = 23,853,798,585.56/103,983.75
  6. Step 6: Final answer
    x = 229,399.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.