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Finding the Third Proportional to 46,940.75 and 104,376.50

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Solution

The third proportional to 46,940.75 and 104,376.50 is: 232,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,940.75 : 104,376.50 = 104,376.50 : x
  2. Step 2: Convert to fraction form
    46,940.75/104,376.50 = 104,376.50/x
  3. Step 3: Cross multiply
    46,940.75x = 104,376.50 × 104,376.50
  4. Step 4: Simplify right side
    46,940.75x = 10,894,453,752.25
  5. Step 5: Solve for x
    x = 10,894,453,752.25/46,940.75
  6. Step 6: Final answer
    x = 232,089.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.