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Finding the Third Proportional to 95,244.75 and 203,611

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Solution

The third proportional to 95,244.75 and 203,611 is: 435,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,244.75 : 203,611 = 203,611 : x
  2. Step 2: Convert to fraction form
    95,244.75/203,611 = 203,611/x
  3. Step 3: Cross multiply
    95,244.75x = 203,611 × 203,611
  4. Step 4: Simplify right side
    95,244.75x = 41,457,439,321
  5. Step 5: Solve for x
    x = 41,457,439,321/95,244.75
  6. Step 6: Final answer
    x = 435,272.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.