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Finding the Third Proportional to 46,941.19 and 101,845.69

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Solution

The third proportional to 46,941.19 and 101,845.69 is: 220,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,941.19 : 101,845.69 = 101,845.69 : x
  2. Step 2: Convert to fraction form
    46,941.19/101,845.69 = 101,845.69/x
  3. Step 3: Cross multiply
    46,941.19x = 101,845.69 × 101,845.69
  4. Step 4: Simplify right side
    46,941.19x = 10,372,544,062.35
  5. Step 5: Solve for x
    x = 10,372,544,062.35/46,941.19
  6. Step 6: Final answer
    x = 220,968.93

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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.