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Finding the Third Proportional to 41,888 and 91,840

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Solution

The third proportional to 41,888 and 91,840 is: 201,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,888 : 91,840 = 91,840 : x
  2. Step 2: Convert to fraction form
    41,888/91,840 = 91,840/x
  3. Step 3: Cross multiply
    41,888x = 91,840 × 91,840
  4. Step 4: Simplify right side
    41,888x = 8,434,585,600
  5. Step 5: Solve for x
    x = 8,434,585,600/41,888
  6. Step 6: Final answer
    x = 201,360.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.