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Finding the Third Proportional to 109,551.75 and 230,172.38

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Solution

The third proportional to 109,551.75 and 230,172.38 is: 483,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,551.75 : 230,172.38 = 230,172.38 : x
  2. Step 2: Convert to fraction form
    109,551.75/230,172.38 = 230,172.38/x
  3. Step 3: Cross multiply
    109,551.75x = 230,172.38 × 230,172.38
  4. Step 4: Simplify right side
    109,551.75x = 52,979,322,213.14
  5. Step 5: Solve for x
    x = 52,979,322,213.14/109,551.75
  6. Step 6: Final answer
    x = 483,600.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.