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Finding the Third Proportional to 45,941.45 and 98,920.41

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Solution

The third proportional to 45,941.45 and 98,920.41 is: 212,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,941.45 : 98,920.41 = 98,920.41 : x
  2. Step 2: Convert to fraction form
    45,941.45/98,920.41 = 98,920.41/x
  3. Step 3: Cross multiply
    45,941.45x = 98,920.41 × 98,920.41
  4. Step 4: Simplify right side
    45,941.45x = 9,785,246,772.67
  5. Step 5: Solve for x
    x = 9,785,246,772.67/45,941.45
  6. Step 6: Final answer
    x = 212,993.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.