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Finding the Third Proportional to 106,035.64 and 230,729.77

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Solution

The third proportional to 106,035.64 and 230,729.77 is: 502,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,035.64 : 230,729.77 = 230,729.77 : x
  2. Step 2: Convert to fraction form
    106,035.64/230,729.77 = 230,729.77/x
  3. Step 3: Cross multiply
    106,035.64x = 230,729.77 × 230,729.77
  4. Step 4: Simplify right side
    106,035.64x = 53,236,224,745.37
  5. Step 5: Solve for x
    x = 53,236,224,745.37/106,035.64
  6. Step 6: Final answer
    x = 502,059.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.