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Finding the Third Proportional to 46,866 and 102,948

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Solution

The third proportional to 46,866 and 102,948 is: 226,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,866 : 102,948 = 102,948 : x
  2. Step 2: Convert to fraction form
    46,866/102,948 = 102,948/x
  3. Step 3: Cross multiply
    46,866x = 102,948 × 102,948
  4. Step 4: Simplify right side
    46,866x = 10,598,290,704
  5. Step 5: Solve for x
    x = 10,598,290,704/46,866
  6. Step 6: Final answer
    x = 226,140.29

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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.