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Finding the Third Proportional to 46,454.25 and 101,931

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Solution

The third proportional to 46,454.25 and 101,931 is: 223,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,454.25 : 101,931 = 101,931 : x
  2. Step 2: Convert to fraction form
    46,454.25/101,931 = 101,931/x
  3. Step 3: Cross multiply
    46,454.25x = 101,931 × 101,931
  4. Step 4: Simplify right side
    46,454.25x = 10,389,928,761
  5. Step 5: Solve for x
    x = 10,389,928,761/46,454.25
  6. Step 6: Final answer
    x = 223,659.38

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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.