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Finding the Third Proportional to 133,180,184,225 and 192,422,367,489

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Solution

The third proportional to 133,180,184,225 and 192,422,367,489 is: 278,017,091,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,180,184,225 : 192,422,367,489 = 192,422,367,489 : x
  2. Step 2: Convert to fraction form
    133,180,184,225/192,422,367,489 = 192,422,367,489/x
  3. Step 3: Cross multiply
    133,180,184,225x = 192,422,367,489 × 192,422,367,489
  4. Step 4: Simplify right side
    133,180,184,225x = 37,026,367,510,071,765,630,976
  5. Step 5: Solve for x
    x = 37,026,367,510,071,765,630,976/133,180,184,225
  6. Step 6: Final answer
    x = 278,017,091,848.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.