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Finding the Third Proportional to 96,972,644 and 150,568,516

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Solution

The third proportional to 96,972,644 and 150,568,516 is: 233,786,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,972,644 : 150,568,516 = 150,568,516 : x
  2. Step 2: Convert to fraction form
    96,972,644/150,568,516 = 150,568,516/x
  3. Step 3: Cross multiply
    96,972,644x = 150,568,516 × 150,568,516
  4. Step 4: Simplify right side
    96,972,644x = 22,670,878,010,442,256
  5. Step 5: Solve for x
    x = 22,670,878,010,442,256/96,972,644
  6. Step 6: Final answer
    x = 233,786,324.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.