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Finding the Third Proportional to 192,077,903 and 413,287,954

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Solution

The third proportional to 192,077,903 and 413,287,954 is: 889,258,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,077,903 : 413,287,954 = 413,287,954 : x
  2. Step 2: Convert to fraction form
    192,077,903/413,287,954 = 413,287,954/x
  3. Step 3: Cross multiply
    192,077,903x = 413,287,954 × 413,287,954
  4. Step 4: Simplify right side
    192,077,903x = 170,806,932,921,506,112
  5. Step 5: Solve for x
    x = 170,806,932,921,506,112/192,077,903
  6. Step 6: Final answer
    x = 889,258,630.24

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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.