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Finding the Third Proportional to 97,764.75 and 214,213.50

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Solution

The third proportional to 97,764.75 and 214,213.50 is: 469,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,764.75 : 214,213.50 = 214,213.50 : x
  2. Step 2: Convert to fraction form
    97,764.75/214,213.50 = 214,213.50/x
  3. Step 3: Cross multiply
    97,764.75x = 214,213.50 × 214,213.50
  4. Step 4: Simplify right side
    97,764.75x = 45,887,423,582.25
  5. Step 5: Solve for x
    x = 45,887,423,582.25/97,764.75
  6. Step 6: Final answer
    x = 469,365.73

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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.