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Finding the Third Proportional to 140,133,291.75 and 327,414,611.25

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Solution

The third proportional to 140,133,291.75 and 327,414,611.25 is: 764,988,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133,291.75 : 327,414,611.25 = 327,414,611.25 : x
  2. Step 2: Convert to fraction form
    140,133,291.75/327,414,611.25 = 327,414,611.25/x
  3. Step 3: Cross multiply
    140,133,291.75x = 327,414,611.25 × 327,414,611.25
  4. Step 4: Simplify right side
    140,133,291.75x = 107,200,327,659,988,624
  5. Step 5: Solve for x
    x = 107,200,327,659,988,624/140,133,291.75
  6. Step 6: Final answer
    x = 764,988,293.08

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.