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Finding the Third Proportional to 46,542.52 and 100,464.47

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Solution

The third proportional to 46,542.52 and 100,464.47 is: 216,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,542.52 : 100,464.47 = 100,464.47 : x
  2. Step 2: Convert to fraction form
    46,542.52/100,464.47 = 100,464.47/x
  3. Step 3: Cross multiply
    46,542.52x = 100,464.47 × 100,464.47
  4. Step 4: Simplify right side
    46,542.52x = 10,093,109,481.22
  5. Step 5: Solve for x
    x = 10,093,109,481.22/46,542.52
  6. Step 6: Final answer
    x = 216,857.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.