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Finding the Third Proportional to 192,255,242 and 413,175,268

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Solution

The third proportional to 192,255,242 and 413,175,268 is: 887,953,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,255,242 : 413,175,268 = 413,175,268 : x
  2. Step 2: Convert to fraction form
    192,255,242/413,175,268 = 413,175,268/x
  3. Step 3: Cross multiply
    192,255,242x = 413,175,268 × 413,175,268
  4. Step 4: Simplify right side
    192,255,242x = 170,713,802,086,871,808
  5. Step 5: Solve for x
    x = 170,713,802,086,871,808/192,255,242
  6. Step 6: Final answer
    x = 887,953,952.83

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