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Finding the Third Proportional to 90,206 and 140,230.50

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Solution

The third proportional to 90,206 and 140,230.50 is: 217,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,206 : 140,230.50 = 140,230.50 : x
  2. Step 2: Convert to fraction form
    90,206/140,230.50 = 140,230.50/x
  3. Step 3: Cross multiply
    90,206x = 140,230.50 × 140,230.50
  4. Step 4: Simplify right side
    90,206x = 19,664,593,130.25
  5. Step 5: Solve for x
    x = 19,664,593,130.25/90,206
  6. Step 6: Final answer
    x = 217,996.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.