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Finding the Third Proportional to 99,474 and 203,544

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Solution

The third proportional to 99,474 and 203,544 is: 416,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,474 : 203,544 = 203,544 : x
  2. Step 2: Convert to fraction form
    99,474/203,544 = 203,544/x
  3. Step 3: Cross multiply
    99,474x = 203,544 × 203,544
  4. Step 4: Simplify right side
    99,474x = 41,430,159,936
  5. Step 5: Solve for x
    x = 41,430,159,936/99,474
  6. Step 6: Final answer
    x = 416,492.35

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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.