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Finding the Third Proportional to 251,405,116 and 541,232,770

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Solution

The third proportional to 251,405,116 and 541,232,770 is: 1,165,182,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,405,116 : 541,232,770 = 541,232,770 : x
  2. Step 2: Convert to fraction form
    251,405,116/541,232,770 = 541,232,770/x
  3. Step 3: Cross multiply
    251,405,116x = 541,232,770 × 541,232,770
  4. Step 4: Simplify right side
    251,405,116x = 292,932,911,321,872,896
  5. Step 5: Solve for x
    x = 292,932,911,321,872,896/251,405,116
  6. Step 6: Final answer
    x = 1,165,182,777.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.