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Finding the Third Proportional to 46,013 and 99,277

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Solution

The third proportional to 46,013 and 99,277 is: 214,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,013 : 99,277 = 99,277 : x
  2. Step 2: Convert to fraction form
    46,013/99,277 = 99,277/x
  3. Step 3: Cross multiply
    46,013x = 99,277 × 99,277
  4. Step 4: Simplify right side
    46,013x = 9,855,922,729
  5. Step 5: Solve for x
    x = 9,855,922,729/46,013
  6. Step 6: Final answer
    x = 214,198.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.