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Finding the Third Proportional to 84,768,992 and 183,089,608

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Solution

The third proportional to 84,768,992 and 183,089,608 is: 395,448,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768,992 : 183,089,608 = 183,089,608 : x
  2. Step 2: Convert to fraction form
    84,768,992/183,089,608 = 183,089,608/x
  3. Step 3: Cross multiply
    84,768,992x = 183,089,608 × 183,089,608
  4. Step 4: Simplify right side
    84,768,992x = 33,521,804,557,593,664
  5. Step 5: Solve for x
    x = 33,521,804,557,593,664/84,768,992
  6. Step 6: Final answer
    x = 395,448,899.02

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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.