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Finding the Third Proportional to 50,223 and 108,222

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Solution

The third proportional to 50,223 and 108,222 is: 233,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223 : 108,222 = 108,222 : x
  2. Step 2: Convert to fraction form
    50,223/108,222 = 108,222/x
  3. Step 3: Cross multiply
    50,223x = 108,222 × 108,222
  4. Step 4: Simplify right side
    50,223x = 11,712,001,284
  5. Step 5: Solve for x
    x = 11,712,001,284/50,223
  6. Step 6: Final answer
    x = 233,199.95

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Why These Related Problems?

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