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Finding the Third Proportional to 203,185.13 and 444,907.69

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Solution

The third proportional to 203,185.13 and 444,907.69 is: 974,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,185.13 : 444,907.69 = 444,907.69 : x
  2. Step 2: Convert to fraction form
    203,185.13/444,907.69 = 444,907.69/x
  3. Step 3: Cross multiply
    203,185.13x = 444,907.69 × 444,907.69
  4. Step 4: Simplify right side
    203,185.13x = 197,942,850,396.60
  5. Step 5: Solve for x
    x = 197,942,850,396.60/203,185.13
  6. Step 6: Final answer
    x = 974,199.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.