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Finding the Third Proportional to 64,635,198 and 138,228,348

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Solution

The third proportional to 64,635,198 and 138,228,348 is: 295,614,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635,198 : 138,228,348 = 138,228,348 : x
  2. Step 2: Convert to fraction form
    64,635,198/138,228,348 = 138,228,348/x
  3. Step 3: Cross multiply
    64,635,198x = 138,228,348 × 138,228,348
  4. Step 4: Simplify right side
    64,635,198x = 19,107,076,190,809,104
  5. Step 5: Solve for x
    x = 19,107,076,190,809,104/64,635,198
  6. Step 6: Final answer
    x = 295,614,104.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.