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Finding the Third Proportional to 192,077,901 and 413,287,950

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Solution

The third proportional to 192,077,901 and 413,287,950 is: 889,258,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,077,901 : 413,287,950 = 413,287,950 : x
  2. Step 2: Convert to fraction form
    192,077,901/413,287,950 = 413,287,950/x
  3. Step 3: Cross multiply
    192,077,901x = 413,287,950 × 413,287,950
  4. Step 4: Simplify right side
    192,077,901x = 170,806,929,615,202,496
  5. Step 5: Solve for x
    x = 170,806,929,615,202,496/192,077,901
  6. Step 6: Final answer
    x = 889,258,622.29

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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.