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Finding the Third Proportional to 97,991.06 and 214,665.75

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Solution

The third proportional to 97,991.06 and 214,665.75 is: 470,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,991.06 : 214,665.75 = 214,665.75 : x
  2. Step 2: Convert to fraction form
    97,991.06/214,665.75 = 214,665.75/x
  3. Step 3: Cross multiply
    97,991.06x = 214,665.75 × 214,665.75
  4. Step 4: Simplify right side
    97,991.06x = 46,081,384,223.06
  5. Step 5: Solve for x
    x = 46,081,384,223.06/97,991.06
  6. Step 6: Final answer
    x = 470,261.09

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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.