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Finding the Third Proportional to 140,133,336 and 327,414,705

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Solution

The third proportional to 140,133,336 and 327,414,705 is: 764,988,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133,336 : 327,414,705 = 327,414,705 : x
  2. Step 2: Convert to fraction form
    140,133,336/327,414,705 = 327,414,705/x
  3. Step 3: Cross multiply
    140,133,336x = 327,414,705 × 327,414,705
  4. Step 4: Simplify right side
    140,133,336x = 107,200,389,050,237,024
  5. Step 5: Solve for x
    x = 107,200,389,050,237,024/140,133,336
  6. Step 6: Final answer
    x = 764,988,489.61

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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.