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Finding the Third Proportional to 46,836 and 103,216.50

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Solution

The third proportional to 46,836 and 103,216.50 is: 227,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836 : 103,216.50 = 103,216.50 : x
  2. Step 2: Convert to fraction form
    46,836/103,216.50 = 103,216.50/x
  3. Step 3: Cross multiply
    46,836x = 103,216.50 × 103,216.50
  4. Step 4: Simplify right side
    46,836x = 10,653,645,872.25
  5. Step 5: Solve for x
    x = 10,653,645,872.25/46,836
  6. Step 6: Final answer
    x = 227,467.03

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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.