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Finding the Third Proportional to 97,744.50 and 214,173

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Solution

The third proportional to 97,744.50 and 214,173 is: 469,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,744.50 : 214,173 = 214,173 : x
  2. Step 2: Convert to fraction form
    97,744.50/214,173 = 214,173/x
  3. Step 3: Cross multiply
    97,744.50x = 214,173 × 214,173
  4. Step 4: Simplify right side
    97,744.50x = 45,870,073,929
  5. Step 5: Solve for x
    x = 45,870,073,929/97,744.50
  6. Step 6: Final answer
    x = 469,285.47

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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.