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Finding the Third Proportional to 218,035,111.50 and 335,135,064

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Solution

The third proportional to 218,035,111.50 and 335,135,064 is: 515,125,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,035,111.50 : 335,135,064 = 335,135,064 : x
  2. Step 2: Convert to fraction form
    218,035,111.50/335,135,064 = 335,135,064/x
  3. Step 3: Cross multiply
    218,035,111.50x = 335,135,064 × 335,135,064
  4. Step 4: Simplify right side
    218,035,111.50x = 112,315,511,122,284,096
  5. Step 5: Solve for x
    x = 112,315,511,122,284,096/218,035,111.50
  6. Step 6: Final answer
    x = 515,125,799.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.