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Finding the Third Proportional to 133,911 and 291,858.75

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Solution

The third proportional to 133,911 and 291,858.75 is: 636,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 291,858.75 = 291,858.75 : x
  2. Step 2: Convert to fraction form
    133,911/291,858.75 = 291,858.75/x
  3. Step 3: Cross multiply
    133,911x = 291,858.75 × 291,858.75
  4. Step 4: Simplify right side
    133,911x = 85,181,529,951.56
  5. Step 5: Solve for x
    x = 85,181,529,951.56/133,911
  6. Step 6: Final answer
    x = 636,105.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.