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Finding the Third Proportional to 133,014.66 and 200,902.78

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Solution

The third proportional to 133,014.66 and 200,902.78 is: 303,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,014.66 : 200,902.78 = 200,902.78 : x
  2. Step 2: Convert to fraction form
    133,014.66/200,902.78 = 200,902.78/x
  3. Step 3: Cross multiply
    133,014.66x = 200,902.78 × 200,902.78
  4. Step 4: Simplify right side
    133,014.66x = 40,361,927,513.99
  5. Step 5: Solve for x
    x = 40,361,927,513.99/133,014.66
  6. Step 6: Final answer
    x = 303,439.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.