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Finding the Third Proportional to 46,037 and 100,858

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Solution

The third proportional to 46,037 and 100,858 is: 220,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,037 : 100,858 = 100,858 : x
  2. Step 2: Convert to fraction form
    46,037/100,858 = 100,858/x
  3. Step 3: Cross multiply
    46,037x = 100,858 × 100,858
  4. Step 4: Simplify right side
    46,037x = 10,172,336,164
  5. Step 5: Solve for x
    x = 10,172,336,164/46,037
  6. Step 6: Final answer
    x = 220,960.01

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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.