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Finding the Third Proportional to 101,514,242 and 150,427,857

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Solution

The third proportional to 101,514,242 and 150,427,857 is: 222,910,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,514,242 : 150,427,857 = 150,427,857 : x
  2. Step 2: Convert to fraction form
    101,514,242/150,427,857 = 150,427,857/x
  3. Step 3: Cross multiply
    101,514,242x = 150,427,857 × 150,427,857
  4. Step 4: Simplify right side
    101,514,242x = 22,628,540,161,612,448
  5. Step 5: Solve for x
    x = 22,628,540,161,612,448/101,514,242
  6. Step 6: Final answer
    x = 222,910,004.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.