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Finding the Third Proportional to 162,395,080.50 and 378,934,942.50

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Solution

The third proportional to 162,395,080.50 and 378,934,942.50 is: 884,212,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,395,080.50 : 378,934,942.50 = 378,934,942.50 : x
  2. Step 2: Convert to fraction form
    162,395,080.50/378,934,942.50 = 378,934,942.50/x
  3. Step 3: Cross multiply
    162,395,080.50x = 378,934,942.50 × 378,934,942.50
  4. Step 4: Simplify right side
    162,395,080.50x = 143,591,690,647,478,304
  5. Step 5: Solve for x
    x = 143,591,690,647,478,304/162,395,080.50
  6. Step 6: Final answer
    x = 884,212,072.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.