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Finding the Third Proportional to 94,848 and 203,190

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Solution

The third proportional to 94,848 and 203,190 is: 435,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,848 : 203,190 = 203,190 : x
  2. Step 2: Convert to fraction form
    94,848/203,190 = 203,190/x
  3. Step 3: Cross multiply
    94,848x = 203,190 × 203,190
  4. Step 4: Simplify right side
    94,848x = 41,286,176,100
  5. Step 5: Solve for x
    x = 41,286,176,100/94,848
  6. Step 6: Final answer
    x = 435,287.79

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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.