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Finding the Third Proportional to 99,469 and 203,534

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Solution

The third proportional to 99,469 and 203,534 is: 416,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,469 : 203,534 = 203,534 : x
  2. Step 2: Convert to fraction form
    99,469/203,534 = 203,534/x
  3. Step 3: Cross multiply
    99,469x = 203,534 × 203,534
  4. Step 4: Simplify right side
    99,469x = 41,426,089,156
  5. Step 5: Solve for x
    x = 41,426,089,156/99,469
  6. Step 6: Final answer
    x = 416,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.