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Finding the Third Proportional to 83,223 and 135,880.50

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Solution

The third proportional to 83,223 and 135,880.50 is: 221,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223 : 135,880.50 = 135,880.50 : x
  2. Step 2: Convert to fraction form
    83,223/135,880.50 = 135,880.50/x
  3. Step 3: Cross multiply
    83,223x = 135,880.50 × 135,880.50
  4. Step 4: Simplify right side
    83,223x = 18,463,510,280.25
  5. Step 5: Solve for x
    x = 18,463,510,280.25/83,223
  6. Step 6: Final answer
    x = 221,855.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.