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Finding the Third Proportional to 133,386.75 and 203,467.88

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Solution

The third proportional to 133,386.75 and 203,467.88 is: 310,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,386.75 : 203,467.88 = 203,467.88 : x
  2. Step 2: Convert to fraction form
    133,386.75/203,467.88 = 203,467.88/x
  3. Step 3: Cross multiply
    133,386.75x = 203,467.88 × 203,467.88
  4. Step 4: Simplify right side
    133,386.75x = 41,399,176,157.02
  5. Step 5: Solve for x
    x = 41,399,176,157.02/133,386.75
  6. Step 6: Final answer
    x = 310,369.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.