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Finding the Third Proportional to 140,133,318 and 327,414,663

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Solution

The third proportional to 140,133,318 and 327,414,663 is: 764,988,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133,318 : 327,414,663 = 327,414,663 : x
  2. Step 2: Convert to fraction form
    140,133,318/327,414,663 = 327,414,663/x
  3. Step 3: Cross multiply
    140,133,318x = 327,414,663 × 327,414,663
  4. Step 4: Simplify right side
    140,133,318x = 107,200,361,547,403,568
  5. Step 5: Solve for x
    x = 107,200,361,547,403,568/140,133,318
  6. Step 6: Final answer
    x = 764,988,391.61

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Why These Related Problems?

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