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Finding the Third Proportional to 46,840.50 and 100,080

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Solution

The third proportional to 46,840.50 and 100,080 is: 213,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,840.50 : 100,080 = 100,080 : x
  2. Step 2: Convert to fraction form
    46,840.50/100,080 = 100,080/x
  3. Step 3: Cross multiply
    46,840.50x = 100,080 × 100,080
  4. Step 4: Simplify right side
    46,840.50x = 10,016,006,400
  5. Step 5: Solve for x
    x = 10,016,006,400/46,840.50
  6. Step 6: Final answer
    x = 213,832.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.