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Finding the Third Proportional to 96,399,570 and 146,858,121

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Solution

The third proportional to 96,399,570 and 146,858,121 is: 223,728,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399,570 : 146,858,121 = 146,858,121 : x
  2. Step 2: Convert to fraction form
    96,399,570/146,858,121 = 146,858,121/x
  3. Step 3: Cross multiply
    96,399,570x = 146,858,121 × 146,858,121
  4. Step 4: Simplify right side
    96,399,570x = 21,567,307,703,650,640
  5. Step 5: Solve for x
    x = 21,567,307,703,650,640/96,399,570
  6. Step 6: Final answer
    x = 223,728,256.29

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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.