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Finding the Third Proportional to 203,083.45 and 436,716.56

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Solution

The third proportional to 203,083.45 and 436,716.56 is: 939,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,083.45 : 436,716.56 = 436,716.56 : x
  2. Step 2: Convert to fraction form
    203,083.45/436,716.56 = 436,716.56/x
  3. Step 3: Cross multiply
    203,083.45x = 436,716.56 × 436,716.56
  4. Step 4: Simplify right side
    203,083.45x = 190,721,355,961.82
  5. Step 5: Solve for x
    x = 190,721,355,961.82/203,083.45
  6. Step 6: Final answer
    x = 939,127.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.