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Finding the Third Proportional to 94,838 and 203,170

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Solution

The third proportional to 94,838 and 203,170 is: 435,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,838 : 203,170 = 203,170 : x
  2. Step 2: Convert to fraction form
    94,838/203,170 = 203,170/x
  3. Step 3: Cross multiply
    94,838x = 203,170 × 203,170
  4. Step 4: Simplify right side
    94,838x = 41,278,048,900
  5. Step 5: Solve for x
    x = 41,278,048,900/94,838
  6. Step 6: Final answer
    x = 435,247.99

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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.