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Finding the Third Proportional to 85,956,285,024 and 184,973,264,064

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Solution

The third proportional to 85,956,285,024 and 184,973,264,064 is: 398,052,433,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,956,285,024 : 184,973,264,064 = 184,973,264,064 : x
  2. Step 2: Convert to fraction form
    85,956,285,024/184,973,264,064 = 184,973,264,064/x
  3. Step 3: Cross multiply
    85,956,285,024x = 184,973,264,064 × 184,973,264,064
  4. Step 4: Simplify right side
    85,956,285,024x = 34,215,108,418,490,272,317,440
  5. Step 5: Solve for x
    x = 34,215,108,418,490,272,317,440/85,956,285,024
  6. Step 6: Final answer
    x = 398,052,433,384.45

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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.