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Finding the Third Proportional to 46,918 and 103,052

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Solution

The third proportional to 46,918 and 103,052 is: 226,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,918 : 103,052 = 103,052 : x
  2. Step 2: Convert to fraction form
    46,918/103,052 = 103,052/x
  3. Step 3: Cross multiply
    46,918x = 103,052 × 103,052
  4. Step 4: Simplify right side
    46,918x = 10,619,714,704
  5. Step 5: Solve for x
    x = 10,619,714,704/46,918
  6. Step 6: Final answer
    x = 226,346.28

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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.