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Finding the Third Proportional to 95,314 and 203,716

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Solution

The third proportional to 95,314 and 203,716 is: 435,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314 : 203,716 = 203,716 : x
  2. Step 2: Convert to fraction form
    95,314/203,716 = 203,716/x
  3. Step 3: Cross multiply
    95,314x = 203,716 × 203,716
  4. Step 4: Simplify right side
    95,314x = 41,500,208,656
  5. Step 5: Solve for x
    x = 41,500,208,656/95,314
  6. Step 6: Final answer
    x = 435,405.17

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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.