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Finding the Third Proportional to 84,108.38 and 184,892.63

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Solution

The third proportional to 84,108.38 and 184,892.63 is: 406,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,108.38 : 184,892.63 = 184,892.63 : x
  2. Step 2: Convert to fraction form
    84,108.38/184,892.63 = 184,892.63/x
  3. Step 3: Cross multiply
    84,108.38x = 184,892.63 × 184,892.63
  4. Step 4: Simplify right side
    84,108.38x = 34,185,282,779.39
  5. Step 5: Solve for x
    x = 34,185,282,779.39/84,108.38
  6. Step 6: Final answer
    x = 406,443.27

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