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Finding the Third Proportional to 46,766.25 and 101,529

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Solution

The third proportional to 46,766.25 and 101,529 is: 220,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,766.25 : 101,529 = 101,529 : x
  2. Step 2: Convert to fraction form
    46,766.25/101,529 = 101,529/x
  3. Step 3: Cross multiply
    46,766.25x = 101,529 × 101,529
  4. Step 4: Simplify right side
    46,766.25x = 10,308,137,841
  5. Step 5: Solve for x
    x = 10,308,137,841/46,766.25
  6. Step 6: Final answer
    x = 220,418.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.