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Finding the Third Proportional to 46,464.75 and 101,826

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Solution

The third proportional to 46,464.75 and 101,826 is: 223,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464.75 : 101,826 = 101,826 : x
  2. Step 2: Convert to fraction form
    46,464.75/101,826 = 101,826/x
  3. Step 3: Cross multiply
    46,464.75x = 101,826 × 101,826
  4. Step 4: Simplify right side
    46,464.75x = 10,368,534,276
  5. Step 5: Solve for x
    x = 10,368,534,276/46,464.75
  6. Step 6: Final answer
    x = 223,148.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.