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Finding the Third Proportional to 46,634.64 and 99,923.31

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Solution

The third proportional to 46,634.64 and 99,923.31 is: 214,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634.64 : 99,923.31 = 99,923.31 : x
  2. Step 2: Convert to fraction form
    46,634.64/99,923.31 = 99,923.31/x
  3. Step 3: Cross multiply
    46,634.64x = 99,923.31 × 99,923.31
  4. Step 4: Simplify right side
    46,634.64x = 9,984,667,600.32
  5. Step 5: Solve for x
    x = 9,984,667,600.32/46,634.64
  6. Step 6: Final answer
    x = 214,104.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.