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Finding the Third Proportional to 133,069.50 and 200,211.75

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Solution

The third proportional to 133,069.50 and 200,211.75 is: 301,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069.50 : 200,211.75 = 200,211.75 : x
  2. Step 2: Convert to fraction form
    133,069.50/200,211.75 = 200,211.75/x
  3. Step 3: Cross multiply
    133,069.50x = 200,211.75 × 200,211.75
  4. Step 4: Simplify right side
    133,069.50x = 40,084,744,838.06
  5. Step 5: Solve for x
    x = 40,084,744,838.06/133,069.50
  6. Step 6: Final answer
    x = 301,231.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.