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Finding the Third Proportional to 90,942.75 and 212,356.69

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Solution

The third proportional to 90,942.75 and 212,356.69 is: 495,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,942.75 : 212,356.69 = 212,356.69 : x
  2. Step 2: Convert to fraction form
    90,942.75/212,356.69 = 212,356.69/x
  3. Step 3: Cross multiply
    90,942.75x = 212,356.69 × 212,356.69
  4. Step 4: Simplify right side
    90,942.75x = 45,095,362,725.97
  5. Step 5: Solve for x
    x = 45,095,362,725.97/90,942.75
  6. Step 6: Final answer
    x = 495,865.40

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.