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Finding the Third Proportional to 46,086 and 100,509

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Solution

The third proportional to 46,086 and 100,509 is: 219,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,086 : 100,509 = 100,509 : x
  2. Step 2: Convert to fraction form
    46,086/100,509 = 100,509/x
  3. Step 3: Cross multiply
    46,086x = 100,509 × 100,509
  4. Step 4: Simplify right side
    46,086x = 10,102,059,081
  5. Step 5: Solve for x
    x = 10,102,059,081/46,086
  6. Step 6: Final answer
    x = 219,200.17

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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.