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Finding the Third Proportional to 101,814.75 and 219,303

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Solution

The third proportional to 101,814.75 and 219,303 is: 472,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814.75 : 219,303 = 219,303 : x
  2. Step 2: Convert to fraction form
    101,814.75/219,303 = 219,303/x
  3. Step 3: Cross multiply
    101,814.75x = 219,303 × 219,303
  4. Step 4: Simplify right side
    101,814.75x = 48,093,805,809
  5. Step 5: Solve for x
    x = 48,093,805,809/101,814.75
  6. Step 6: Final answer
    x = 472,365.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.