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Finding the Third Proportional to 192,077,889.75 and 413,287,923.75

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Solution

The third proportional to 192,077,889.75 and 413,287,923.75 is: 889,258,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,077,889.75 : 413,287,923.75 = 413,287,923.75 : x
  2. Step 2: Convert to fraction form
    192,077,889.75/413,287,923.75 = 413,287,923.75/x
  3. Step 3: Cross multiply
    192,077,889.75x = 413,287,923.75 × 413,287,923.75
  4. Step 4: Simplify right side
    192,077,889.75x = 170,806,907,917,585,824
  5. Step 5: Solve for x
    x = 170,806,907,917,585,824/192,077,889.75
  6. Step 6: Final answer
    x = 889,258,561.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.