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Finding the Third Proportional to 46,344 and 101,904

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Solution

The third proportional to 46,344 and 101,904 is: 224,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,344 : 101,904 = 101,904 : x
  2. Step 2: Convert to fraction form
    46,344/101,904 = 101,904/x
  3. Step 3: Cross multiply
    46,344x = 101,904 × 101,904
  4. Step 4: Simplify right side
    46,344x = 10,384,425,216
  5. Step 5: Solve for x
    x = 10,384,425,216/46,344
  6. Step 6: Final answer
    x = 224,072.70

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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.