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Finding the Third Proportional to 102,767,016 and 150,291,852

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Solution

The third proportional to 102,767,016 and 150,291,852 is: 219,794,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767,016 : 150,291,852 = 150,291,852 : x
  2. Step 2: Convert to fraction form
    102,767,016/150,291,852 = 150,291,852/x
  3. Step 3: Cross multiply
    102,767,016x = 150,291,852 × 150,291,852
  4. Step 4: Simplify right side
    102,767,016x = 22,587,640,777,589,904
  5. Step 5: Solve for x
    x = 22,587,640,777,589,904/102,767,016
  6. Step 6: Final answer
    x = 219,794,654.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.