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Finding the Third Proportional to 107,989.45 and 234,825.64

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Solution

The third proportional to 107,989.45 and 234,825.64 is: 510,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,989.45 : 234,825.64 = 234,825.64 : x
  2. Step 2: Convert to fraction form
    107,989.45/234,825.64 = 234,825.64/x
  3. Step 3: Cross multiply
    107,989.45x = 234,825.64 × 234,825.64
  4. Step 4: Simplify right side
    107,989.45x = 55,143,083,329.52
  5. Step 5: Solve for x
    x = 55,143,083,329.52/107,989.45
  6. Step 6: Final answer
    x = 510,633.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.