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Finding the Third Proportional to 46,186 and 99,279

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Solution

The third proportional to 46,186 and 99,279 is: 213,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186 : 99,279 = 99,279 : x
  2. Step 2: Convert to fraction form
    46,186/99,279 = 99,279/x
  3. Step 3: Cross multiply
    46,186x = 99,279 × 99,279
  4. Step 4: Simplify right side
    46,186x = 9,856,319,841
  5. Step 5: Solve for x
    x = 9,856,319,841/46,186
  6. Step 6: Final answer
    x = 213,404.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.