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Finding the Third Proportional to 251,405,114 and 541,232,765.50

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Solution

The third proportional to 251,405,114 and 541,232,765.50 is: 1,165,182,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,405,114 : 541,232,765.50 = 541,232,765.50 : x
  2. Step 2: Convert to fraction form
    251,405,114/541,232,765.50 = 541,232,765.50/x
  3. Step 3: Cross multiply
    251,405,114x = 541,232,765.50 × 541,232,765.50
  4. Step 4: Simplify right side
    251,405,114x = 292,932,906,450,777,984
  5. Step 5: Solve for x
    x = 292,932,906,450,777,984/251,405,114
  6. Step 6: Final answer
    x = 1,165,182,767.33

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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.