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Finding the Third Proportional to 85,289,211 and 184,196,322

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Solution

The third proportional to 85,289,211 and 184,196,322 is: 397,802,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,289,211 : 184,196,322 = 184,196,322 : x
  2. Step 2: Convert to fraction form
    85,289,211/184,196,322 = 184,196,322/x
  3. Step 3: Cross multiply
    85,289,211x = 184,196,322 × 184,196,322
  4. Step 4: Simplify right side
    85,289,211x = 33,928,285,038,327,684
  5. Step 5: Solve for x
    x = 33,928,285,038,327,684/85,289,211
  6. Step 6: Final answer
    x = 397,802,777.64

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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.