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Finding the Third Proportional to 103,222 and 150,850

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Solution

The third proportional to 103,222 and 150,850 is: 220,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222 : 150,850 = 150,850 : x
  2. Step 2: Convert to fraction form
    103,222/150,850 = 150,850/x
  3. Step 3: Cross multiply
    103,222x = 150,850 × 150,850
  4. Step 4: Simplify right side
    103,222x = 22,755,722,500
  5. Step 5: Solve for x
    x = 22,755,722,500/103,222
  6. Step 6: Final answer
    x = 220,454.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.