Home / 146,512,691,738.44-317,365,613,782.31

Finding the Third Proportional to 146,512,691,738.44 and 317,365,613,782.31

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Solution

The third proportional to 146,512,691,738.44 and 317,365,613,782.31 is: 687,455,343,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,512,691,738.44 : 317,365,613,782.31 = 317,365,613,782.31 : x
  2. Step 2: Convert to fraction form
    146,512,691,738.44/317,365,613,782.31 = 317,365,613,782.31/x
  3. Step 3: Cross multiply
    146,512,691,738.44x = 317,365,613,782.31 × 317,365,613,782.31
  4. Step 4: Simplify right side
    146,512,691,738.44x = 100,720,932,811,422,360,928,256
  5. Step 5: Solve for x
    x = 100,720,932,811,422,360,928,256/146,512,691,738.44
  6. Step 6: Final answer
    x = 687,455,343,399.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.