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Finding the Third Proportional to 174,493,976 and 378,069,099

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Solution

The third proportional to 174,493,976 and 378,069,099 is: 819,147,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,493,976 : 378,069,099 = 378,069,099 : x
  2. Step 2: Convert to fraction form
    174,493,976/378,069,099 = 378,069,099/x
  3. Step 3: Cross multiply
    174,493,976x = 378,069,099 × 378,069,099
  4. Step 4: Simplify right side
    174,493,976x = 142,936,243,618,671,808
  5. Step 5: Solve for x
    x = 142,936,243,618,671,808/174,493,976
  6. Step 6: Final answer
    x = 819,147,152.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.