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Finding the Third Proportional to 106,081.50 and 223,069.50

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Solution

The third proportional to 106,081.50 and 223,069.50 is: 469,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,081.50 : 223,069.50 = 223,069.50 : x
  2. Step 2: Convert to fraction form
    106,081.50/223,069.50 = 223,069.50/x
  3. Step 3: Cross multiply
    106,081.50x = 223,069.50 × 223,069.50
  4. Step 4: Simplify right side
    106,081.50x = 49,760,001,830.25
  5. Step 5: Solve for x
    x = 49,760,001,830.25/106,081.50
  6. Step 6: Final answer
    x = 469,073.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.