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Finding the Third Proportional to 140,133,295 and 327,414,620

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Solution

The third proportional to 140,133,295 and 327,414,620 is: 764,988,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133,295 : 327,414,620 = 327,414,620 : x
  2. Step 2: Convert to fraction form
    140,133,295/327,414,620 = 327,414,620/x
  3. Step 3: Cross multiply
    140,133,295x = 327,414,620 × 327,414,620
  4. Step 4: Simplify right side
    140,133,295x = 107,200,333,389,744,400
  5. Step 5: Solve for x
    x = 107,200,333,389,744,400/140,133,295
  6. Step 6: Final answer
    x = 764,988,316.23

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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.