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Finding the Third Proportional to 85,956,285,224 and 184,973,264,464

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Solution

The third proportional to 85,956,285,224 and 184,973,264,464 is: 398,052,434,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,956,285,224 : 184,973,264,464 = 184,973,264,464 : x
  2. Step 2: Convert to fraction form
    85,956,285,224/184,973,264,464 = 184,973,264,464/x
  3. Step 3: Cross multiply
    85,956,285,224x = 184,973,264,464 × 184,973,264,464
  4. Step 4: Simplify right side
    85,956,285,224x = 34,215,108,566,468,886,790,144
  5. Step 5: Solve for x
    x = 34,215,108,566,468,886,790,144/85,956,285,224
  6. Step 6: Final answer
    x = 398,052,434,179.83

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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.