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Finding the Third Proportional to 85,301,193 and 184,194,726

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Solution

The third proportional to 85,301,193 and 184,194,726 is: 397,740,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,193 : 184,194,726 = 184,194,726 : x
  2. Step 2: Convert to fraction form
    85,301,193/184,194,726 = 184,194,726/x
  3. Step 3: Cross multiply
    85,301,193x = 184,194,726 × 184,194,726
  4. Step 4: Simplify right side
    85,301,193x = 33,927,697,086,215,076
  5. Step 5: Solve for x
    x = 33,927,697,086,215,076/85,301,193
  6. Step 6: Final answer
    x = 397,740,006.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.