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Finding the Third Proportional to 84,155.25 and 184,146.38

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Solution

The third proportional to 84,155.25 and 184,146.38 is: 402,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,155.25 : 184,146.38 = 184,146.38 : x
  2. Step 2: Convert to fraction form
    84,155.25/184,146.38 = 184,146.38/x
  3. Step 3: Cross multiply
    84,155.25x = 184,146.38 × 184,146.38
  4. Step 4: Simplify right side
    84,155.25x = 33,909,887,425.64
  5. Step 5: Solve for x
    x = 33,909,887,425.64/84,155.25
  6. Step 6: Final answer
    x = 402,944.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.