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Finding the Third Proportional to 203,937.75 and 435,921.75

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Solution

The third proportional to 203,937.75 and 435,921.75 is: 931,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,937.75 : 435,921.75 = 435,921.75 : x
  2. Step 2: Convert to fraction form
    203,937.75/435,921.75 = 435,921.75/x
  3. Step 3: Cross multiply
    203,937.75x = 435,921.75 × 435,921.75
  4. Step 4: Simplify right side
    203,937.75x = 190,027,772,123.06
  5. Step 5: Solve for x
    x = 190,027,772,123.06/203,937.75
  6. Step 6: Final answer
    x = 931,793.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.