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Finding the Third Proportional to 43,200 and 99,288

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Solution

The third proportional to 43,200 and 99,288 is: 228,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 99,288 = 99,288 : x
  2. Step 2: Convert to fraction form
    43,200/99,288 = 99,288/x
  3. Step 3: Cross multiply
    43,200x = 99,288 × 99,288
  4. Step 4: Simplify right side
    43,200x = 9,858,106,944
  5. Step 5: Solve for x
    x = 9,858,106,944/43,200
  6. Step 6: Final answer
    x = 228,196.92

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.