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Finding the Third Proportional to 41,871.63 and 91,259.38

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Solution

The third proportional to 41,871.63 and 91,259.38 is: 198,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,871.63 : 91,259.38 = 91,259.38 : x
  2. Step 2: Convert to fraction form
    41,871.63/91,259.38 = 91,259.38/x
  3. Step 3: Cross multiply
    41,871.63x = 91,259.38 × 91,259.38
  4. Step 4: Simplify right side
    41,871.63x = 8,328,273,525.39
  5. Step 5: Solve for x
    x = 8,328,273,525.39/41,871.63
  6. Step 6: Final answer
    x = 198,900.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.