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Finding the Third Proportional to 86,320.50 and 184,631.25

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Solution

The third proportional to 86,320.50 and 184,631.25 is: 394,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,320.50 : 184,631.25 = 184,631.25 : x
  2. Step 2: Convert to fraction form
    86,320.50/184,631.25 = 184,631.25/x
  3. Step 3: Cross multiply
    86,320.50x = 184,631.25 × 184,631.25
  4. Step 4: Simplify right side
    86,320.50x = 34,088,698,476.56
  5. Step 5: Solve for x
    x = 34,088,698,476.56/86,320.50
  6. Step 6: Final answer
    x = 394,908.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.