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Finding the Third Proportional to 175,049,724 and 380,923,512

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Solution

The third proportional to 175,049,724 and 380,923,512 is: 828,922,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,049,724 : 380,923,512 = 380,923,512 : x
  2. Step 2: Convert to fraction form
    175,049,724/380,923,512 = 380,923,512/x
  3. Step 3: Cross multiply
    175,049,724x = 380,923,512 × 380,923,512
  4. Step 4: Simplify right side
    175,049,724x = 145,102,721,994,414,144
  5. Step 5: Solve for x
    x = 145,102,721,994,414,144/175,049,724
  6. Step 6: Final answer
    x = 828,922,883.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.