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Finding the Third Proportional to 94,845 and 203,143

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Solution

The third proportional to 94,845 and 203,143 is: 435,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,845 : 203,143 = 203,143 : x
  2. Step 2: Convert to fraction form
    94,845/203,143 = 203,143/x
  3. Step 3: Cross multiply
    94,845x = 203,143 × 203,143
  4. Step 4: Simplify right side
    94,845x = 41,267,078,449
  5. Step 5: Solve for x
    x = 41,267,078,449/94,845
  6. Step 6: Final answer
    x = 435,100.20

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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.