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Finding the Third Proportional to 45,886.50 and 100,521

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Solution

The third proportional to 45,886.50 and 100,521 is: 220,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886.50 : 100,521 = 100,521 : x
  2. Step 2: Convert to fraction form
    45,886.50/100,521 = 100,521/x
  3. Step 3: Cross multiply
    45,886.50x = 100,521 × 100,521
  4. Step 4: Simplify right side
    45,886.50x = 10,104,471,441
  5. Step 5: Solve for x
    x = 10,104,471,441/45,886.50
  6. Step 6: Final answer
    x = 220,205.76

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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.