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Finding the Third Proportional to 84,768,996 and 183,089,616

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Solution

The third proportional to 84,768,996 and 183,089,616 is: 395,448,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768,996 : 183,089,616 = 183,089,616 : x
  2. Step 2: Convert to fraction form
    84,768,996/183,089,616 = 183,089,616/x
  3. Step 3: Cross multiply
    84,768,996x = 183,089,616 × 183,089,616
  4. Step 4: Simplify right side
    84,768,996x = 33,521,807,487,027,456
  5. Step 5: Solve for x
    x = 33,521,807,487,027,456/84,768,996
  6. Step 6: Final answer
    x = 395,448,914.92

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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.