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Finding the Third Proportional to 91,874.25 and 202,370.91

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Solution

The third proportional to 91,874.25 and 202,370.91 is: 445,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,874.25 : 202,370.91 = 202,370.91 : x
  2. Step 2: Convert to fraction form
    91,874.25/202,370.91 = 202,370.91/x
  3. Step 3: Cross multiply
    91,874.25x = 202,370.91 × 202,370.91
  4. Step 4: Simplify right side
    91,874.25x = 40,953,983,696.45
  5. Step 5: Solve for x
    x = 40,953,983,696.45/91,874.25
  6. Step 6: Final answer
    x = 445,761.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.