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Finding the Third Proportional to 85,550,868 and 184,738,032

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Solution

The third proportional to 85,550,868 and 184,738,032 is: 398,922,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,868 : 184,738,032 = 184,738,032 : x
  2. Step 2: Convert to fraction form
    85,550,868/184,738,032 = 184,738,032/x
  3. Step 3: Cross multiply
    85,550,868x = 184,738,032 × 184,738,032
  4. Step 4: Simplify right side
    85,550,868x = 34,128,140,467,233,024
  5. Step 5: Solve for x
    x = 34,128,140,467,233,024/85,550,868
  6. Step 6: Final answer
    x = 398,922,199.92

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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.