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Finding the Third Proportional to 73,538,144 and 161,664,064

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Solution

The third proportional to 73,538,144 and 161,664,064 is: 355,397,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,538,144 : 161,664,064 = 161,664,064 : x
  2. Step 2: Convert to fraction form
    73,538,144/161,664,064 = 161,664,064/x
  3. Step 3: Cross multiply
    73,538,144x = 161,664,064 × 161,664,064
  4. Step 4: Simplify right side
    73,538,144x = 26,135,269,588,996,096
  5. Step 5: Solve for x
    x = 26,135,269,588,996,096/73,538,144
  6. Step 6: Final answer
    x = 355,397,459.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.