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Finding the Third Proportional to 97,991.75 and 214,667

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Solution

The third proportional to 97,991.75 and 214,667 is: 470,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,991.75 : 214,667 = 214,667 : x
  2. Step 2: Convert to fraction form
    97,991.75/214,667 = 214,667/x
  3. Step 3: Cross multiply
    97,991.75x = 214,667 × 214,667
  4. Step 4: Simplify right side
    97,991.75x = 46,081,920,889
  5. Step 5: Solve for x
    x = 46,081,920,889/97,991.75
  6. Step 6: Final answer
    x = 470,263.27

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Why These Related Problems?

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