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Finding the Third Proportional to 100,985,786.44 and 153,514,845

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Solution

The third proportional to 100,985,786.44 and 153,514,845 is: 233,367,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,985,786.44 : 153,514,845 = 153,514,845 : x
  2. Step 2: Convert to fraction form
    100,985,786.44/153,514,845 = 153,514,845/x
  3. Step 3: Cross multiply
    100,985,786.44x = 153,514,845 × 153,514,845
  4. Step 4: Simplify right side
    100,985,786.44x = 23,566,807,635,374,024
  5. Step 5: Solve for x
    x = 23,566,807,635,374,024/100,985,786.44
  6. Step 6: Final answer
    x = 233,367,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.