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Finding the Third Proportional to 46,186 and 99,662

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Solution

The third proportional to 46,186 and 99,662 is: 215,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186 : 99,662 = 99,662 : x
  2. Step 2: Convert to fraction form
    46,186/99,662 = 99,662/x
  3. Step 3: Cross multiply
    46,186x = 99,662 × 99,662
  4. Step 4: Simplify right side
    46,186x = 9,932,514,244
  5. Step 5: Solve for x
    x = 9,932,514,244/46,186
  6. Step 6: Final answer
    x = 215,054.65

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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.