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Finding the Third Proportional to 212,089.88 and 438,942.75

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Solution

The third proportional to 212,089.88 and 438,942.75 is: 908,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089.88 : 438,942.75 = 438,942.75 : x
  2. Step 2: Convert to fraction form
    212,089.88/438,942.75 = 438,942.75/x
  3. Step 3: Cross multiply
    212,089.88x = 438,942.75 × 438,942.75
  4. Step 4: Simplify right side
    212,089.88x = 192,670,737,777.56
  5. Step 5: Solve for x
    x = 192,670,737,777.56/212,089.88
  6. Step 6: Final answer
    x = 908,439.11

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.