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Finding the Third Proportional to 46,993.50 and 103,333.50

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Solution

The third proportional to 46,993.50 and 103,333.50 is: 227,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993.50 : 103,333.50 = 103,333.50 : x
  2. Step 2: Convert to fraction form
    46,993.50/103,333.50 = 103,333.50/x
  3. Step 3: Cross multiply
    46,993.50x = 103,333.50 × 103,333.50
  4. Step 4: Simplify right side
    46,993.50x = 10,677,812,222.25
  5. Step 5: Solve for x
    x = 10,677,812,222.25/46,993.50
  6. Step 6: Final answer
    x = 227,218.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.