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Finding the Third Proportional to 101,148.75 and 217,849.50

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Solution

The third proportional to 101,148.75 and 217,849.50 is: 469,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,148.75 : 217,849.50 = 217,849.50 : x
  2. Step 2: Convert to fraction form
    101,148.75/217,849.50 = 217,849.50/x
  3. Step 3: Cross multiply
    101,148.75x = 217,849.50 × 217,849.50
  4. Step 4: Simplify right side
    101,148.75x = 47,458,404,650.25
  5. Step 5: Solve for x
    x = 47,458,404,650.25/101,148.75
  6. Step 6: Final answer
    x = 469,194.18

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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.