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Finding the Third Proportional to 46,102.13 and 68,858.06

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Solution

The third proportional to 46,102.13 and 68,858.06 is: 102,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,102.13 : 68,858.06 = 68,858.06 : x
  2. Step 2: Convert to fraction form
    46,102.13/68,858.06 = 68,858.06/x
  3. Step 3: Cross multiply
    46,102.13x = 68,858.06 × 68,858.06
  4. Step 4: Simplify right side
    46,102.13x = 4,741,432,771.25
  5. Step 5: Solve for x
    x = 4,741,432,771.25/46,102.13
  6. Step 6: Final answer
    x = 102,846.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.