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Finding the Third Proportional to 85,550,989 and 184,738,247

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Solution

The third proportional to 85,550,989 and 184,738,247 is: 398,922,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,989 : 184,738,247 = 184,738,247 : x
  2. Step 2: Convert to fraction form
    85,550,989/184,738,247 = 184,738,247/x
  3. Step 3: Cross multiply
    85,550,989x = 184,738,247 × 184,738,247
  4. Step 4: Simplify right side
    85,550,989x = 34,128,219,904,633,008
  5. Step 5: Solve for x
    x = 34,128,219,904,633,008/85,550,989
  6. Step 6: Final answer
    x = 398,922,564.23

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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.