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Finding the Third Proportional to 174,493,973 and 378,069,093

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Solution

The third proportional to 174,493,973 and 378,069,093 is: 819,147,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,493,973 : 378,069,093 = 378,069,093 : x
  2. Step 2: Convert to fraction form
    174,493,973/378,069,093 = 378,069,093/x
  3. Step 3: Cross multiply
    174,493,973x = 378,069,093 × 378,069,093
  4. Step 4: Simplify right side
    174,493,973x = 142,936,239,081,842,656
  5. Step 5: Solve for x
    x = 142,936,239,081,842,656/174,493,973
  6. Step 6: Final answer
    x = 819,147,140.87

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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.