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Finding the Third Proportional to 46,918.94 and 110,711.38

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Solution

The third proportional to 46,918.94 and 110,711.38 is: 261,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,918.94 : 110,711.38 = 110,711.38 : x
  2. Step 2: Convert to fraction form
    46,918.94/110,711.38 = 110,711.38/x
  3. Step 3: Cross multiply
    46,918.94x = 110,711.38 × 110,711.38
  4. Step 4: Simplify right side
    46,918.94x = 12,257,008,554.39
  5. Step 5: Solve for x
    x = 12,257,008,554.39/46,918.94
  6. Step 6: Final answer
    x = 261,237.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.