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Finding the Third Proportional to 149,133,037 and 324,080,405.75

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Solution

The third proportional to 149,133,037 and 324,080,405.75 is: 704,257,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,037 : 324,080,405.75 = 324,080,405.75 : x
  2. Step 2: Convert to fraction form
    149,133,037/324,080,405.75 = 324,080,405.75/x
  3. Step 3: Cross multiply
    149,133,037x = 324,080,405.75 × 324,080,405.75
  4. Step 4: Simplify right side
    149,133,037x = 105,028,109,391,084,640
  5. Step 5: Solve for x
    x = 105,028,109,391,084,640/149,133,037
  6. Step 6: Final answer
    x = 704,257,832.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.