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Finding the Third Proportional to 140,133,334 and 327,414,700

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Solution

The third proportional to 140,133,334 and 327,414,700 is: 764,988,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133,334 : 327,414,700 = 327,414,700 : x
  2. Step 2: Convert to fraction form
    140,133,334/327,414,700 = 327,414,700/x
  3. Step 3: Cross multiply
    140,133,334x = 327,414,700 × 327,414,700
  4. Step 4: Simplify right side
    140,133,334x = 107,200,385,776,090,000
  5. Step 5: Solve for x
    x = 107,200,385,776,090,000/140,133,334
  6. Step 6: Final answer
    x = 764,988,477.16

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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.