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Finding the Third Proportional to 188,263,404 and 406,777,392

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Solution

The third proportional to 188,263,404 and 406,777,392 is: 878,916,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,263,404 : 406,777,392 = 406,777,392 : x
  2. Step 2: Convert to fraction form
    188,263,404/406,777,392 = 406,777,392/x
  3. Step 3: Cross multiply
    188,263,404x = 406,777,392 × 406,777,392
  4. Step 4: Simplify right side
    188,263,404x = 165,467,846,642,321,664
  5. Step 5: Solve for x
    x = 165,467,846,642,321,664/188,263,404
  6. Step 6: Final answer
    x = 878,916,683.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.