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Finding the Third Proportional to 46,321.88 and 110,246.06

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Solution

The third proportional to 46,321.88 and 110,246.06 is: 262,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,321.88 : 110,246.06 = 110,246.06 : x
  2. Step 2: Convert to fraction form
    46,321.88/110,246.06 = 110,246.06/x
  3. Step 3: Cross multiply
    46,321.88x = 110,246.06 × 110,246.06
  4. Step 4: Simplify right side
    46,321.88x = 12,154,194,296.75
  5. Step 5: Solve for x
    x = 12,154,194,296.75/46,321.88
  6. Step 6: Final answer
    x = 262,385.63

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.