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Finding the Third Proportional to 106,701.05 and 223,260.05

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Solution

The third proportional to 106,701.05 and 223,260.05 is: 467,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.05 : 223,260.05 = 223,260.05 : x
  2. Step 2: Convert to fraction form
    106,701.05/223,260.05 = 223,260.05/x
  3. Step 3: Cross multiply
    106,701.05x = 223,260.05 × 223,260.05
  4. Step 4: Simplify right side
    106,701.05x = 49,845,048,530.63
  5. Step 5: Solve for x
    x = 49,845,048,530.63/106,701.05
  6. Step 6: Final answer
    x = 467,146.76

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.