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Finding the Third Proportional to 85,301,355 and 184,194,906

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Solution

The third proportional to 85,301,355 and 184,194,906 is: 397,740,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,355 : 184,194,906 = 184,194,906 : x
  2. Step 2: Convert to fraction form
    85,301,355/184,194,906 = 184,194,906/x
  3. Step 3: Cross multiply
    85,301,355x = 184,194,906 × 184,194,906
  4. Step 4: Simplify right side
    85,301,355x = 33,927,763,396,348,836
  5. Step 5: Solve for x
    x = 33,927,763,396,348,836/85,301,355
  6. Step 6: Final answer
    x = 397,740,028.82

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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.