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Finding the Third Proportional to 46,488 and 100,848

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Solution

The third proportional to 46,488 and 100,848 is: 218,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488 : 100,848 = 100,848 : x
  2. Step 2: Convert to fraction form
    46,488/100,848 = 100,848/x
  3. Step 3: Cross multiply
    46,488x = 100,848 × 100,848
  4. Step 4: Simplify right side
    46,488x = 10,170,319,104
  5. Step 5: Solve for x
    x = 10,170,319,104/46,488
  6. Step 6: Final answer
    x = 218,773.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.