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Finding the Third Proportional to 46,306.69 and 101,467.69

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Solution

The third proportional to 46,306.69 and 101,467.69 is: 222,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,306.69 : 101,467.69 = 101,467.69 : x
  2. Step 2: Convert to fraction form
    46,306.69/101,467.69 = 101,467.69/x
  3. Step 3: Cross multiply
    46,306.69x = 101,467.69 × 101,467.69
  4. Step 4: Simplify right side
    46,306.69x = 10,295,691,606.60
  5. Step 5: Solve for x
    x = 10,295,691,606.60/46,306.69
  6. Step 6: Final answer
    x = 222,337.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.