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Finding the Third Proportional to 46,205.25 and 100,702.75

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Solution

The third proportional to 46,205.25 and 100,702.75 is: 219,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205.25 : 100,702.75 = 100,702.75 : x
  2. Step 2: Convert to fraction form
    46,205.25/100,702.75 = 100,702.75/x
  3. Step 3: Cross multiply
    46,205.25x = 100,702.75 × 100,702.75
  4. Step 4: Simplify right side
    46,205.25x = 10,141,043,857.56
  5. Step 5: Solve for x
    x = 10,141,043,857.56/46,205.25
  6. Step 6: Final answer
    x = 219,478.17

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Why These Related Problems?

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