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Finding the Third Proportional to 85,222,848 and 184,066,080

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Solution

The third proportional to 85,222,848 and 184,066,080 is: 397,549,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,222,848 : 184,066,080 = 184,066,080 : x
  2. Step 2: Convert to fraction form
    85,222,848/184,066,080 = 184,066,080/x
  3. Step 3: Cross multiply
    85,222,848x = 184,066,080 × 184,066,080
  4. Step 4: Simplify right side
    85,222,848x = 33,880,321,806,566,400
  5. Step 5: Solve for x
    x = 33,880,321,806,566,400/85,222,848
  6. Step 6: Final answer
    x = 397,549,748.71

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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.