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Finding the Third Proportional to 83,443.50 and 184,904.25

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Solution

The third proportional to 83,443.50 and 184,904.25 is: 409,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.50 : 184,904.25 = 184,904.25 : x
  2. Step 2: Convert to fraction form
    83,443.50/184,904.25 = 184,904.25/x
  3. Step 3: Cross multiply
    83,443.50x = 184,904.25 × 184,904.25
  4. Step 4: Simplify right side
    83,443.50x = 34,189,581,668.06
  5. Step 5: Solve for x
    x = 34,189,581,668.06/83,443.50
  6. Step 6: Final answer
    x = 409,733.31

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.