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Finding the Third Proportional to 46,512.56 and 101,890.69

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Solution

The third proportional to 46,512.56 and 101,890.69 is: 223,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512.56 : 101,890.69 = 101,890.69 : x
  2. Step 2: Convert to fraction form
    46,512.56/101,890.69 = 101,890.69/x
  3. Step 3: Cross multiply
    46,512.56x = 101,890.69 × 101,890.69
  4. Step 4: Simplify right side
    46,512.56x = 10,381,712,199.22
  5. Step 5: Solve for x
    x = 10,381,712,199.22/46,512.56
  6. Step 6: Final answer
    x = 223,202.33

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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.