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Finding the Third Proportional to 101,857.50 and 219,241.69

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Solution

The third proportional to 101,857.50 and 219,241.69 is: 471,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,857.50 : 219,241.69 = 219,241.69 : x
  2. Step 2: Convert to fraction form
    101,857.50/219,241.69 = 219,241.69/x
  3. Step 3: Cross multiply
    101,857.50x = 219,241.69 × 219,241.69
  4. Step 4: Simplify right side
    101,857.50x = 48,066,917,537.85
  5. Step 5: Solve for x
    x = 48,066,917,537.85/101,857.50
  6. Step 6: Final answer
    x = 471,903.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.