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Finding the Third Proportional to 99,318 and 203,010

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Solution

The third proportional to 99,318 and 203,010 is: 414,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,318 : 203,010 = 203,010 : x
  2. Step 2: Convert to fraction form
    99,318/203,010 = 203,010/x
  3. Step 3: Cross multiply
    99,318x = 203,010 × 203,010
  4. Step 4: Simplify right side
    99,318x = 41,213,060,100
  5. Step 5: Solve for x
    x = 41,213,060,100/99,318
  6. Step 6: Final answer
    x = 414,960.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.