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Finding the Third Proportional to 46,097.44 and 93,886.59

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Solution

The third proportional to 46,097.44 and 93,886.59 is: 191,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,097.44 : 93,886.59 = 93,886.59 : x
  2. Step 2: Convert to fraction form
    46,097.44/93,886.59 = 93,886.59/x
  3. Step 3: Cross multiply
    46,097.44x = 93,886.59 × 93,886.59
  4. Step 4: Simplify right side
    46,097.44x = 8,814,692,485.98
  5. Step 5: Solve for x
    x = 8,814,692,485.98/46,097.44
  6. Step 6: Final answer
    x = 191,218.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.