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Finding the Third Proportional to 46,035 and 100,271

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Solution

The third proportional to 46,035 and 100,271 is: 218,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,035 : 100,271 = 100,271 : x
  2. Step 2: Convert to fraction form
    46,035/100,271 = 100,271/x
  3. Step 3: Cross multiply
    46,035x = 100,271 × 100,271
  4. Step 4: Simplify right side
    46,035x = 10,054,273,441
  5. Step 5: Solve for x
    x = 10,054,273,441/46,035
  6. Step 6: Final answer
    x = 218,404.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.