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Finding the Third Proportional to 85,550,987 and 184,738,243

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Solution

The third proportional to 85,550,987 and 184,738,243 is: 398,922,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,987 : 184,738,243 = 184,738,243 : x
  2. Step 2: Convert to fraction form
    85,550,987/184,738,243 = 184,738,243/x
  3. Step 3: Cross multiply
    85,550,987x = 184,738,243 × 184,738,243
  4. Step 4: Simplify right side
    85,550,987x = 34,128,218,426,727,048
  5. Step 5: Solve for x
    x = 34,128,218,426,727,048/85,550,987
  6. Step 6: Final answer
    x = 398,922,556.28

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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.