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Finding the Third Proportional to 184,647.09 and 408,045.09

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Solution

The third proportional to 184,647.09 and 408,045.09 is: 901,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,647.09 : 408,045.09 = 408,045.09 : x
  2. Step 2: Convert to fraction form
    184,647.09/408,045.09 = 408,045.09/x
  3. Step 3: Cross multiply
    184,647.09x = 408,045.09 × 408,045.09
  4. Step 4: Simplify right side
    184,647.09x = 166,500,798,533.45
  5. Step 5: Solve for x
    x = 166,500,798,533.45/184,647.09
  6. Step 6: Final answer
    x = 901,724.45

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.