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Finding the Third Proportional to 97,998.50 and 214,679.50

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Solution

The third proportional to 97,998.50 and 214,679.50 is: 470,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.50 : 214,679.50 = 214,679.50 : x
  2. Step 2: Convert to fraction form
    97,998.50/214,679.50 = 214,679.50/x
  3. Step 3: Cross multiply
    97,998.50x = 214,679.50 × 214,679.50
  4. Step 4: Simplify right side
    97,998.50x = 46,087,287,720.25
  5. Step 5: Solve for x
    x = 46,087,287,720.25/97,998.50
  6. Step 6: Final answer
    x = 470,285.64

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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.