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Finding the Third Proportional to 46,086 and 98,700

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Solution

The third proportional to 46,086 and 98,700 is: 211,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,086 : 98,700 = 98,700 : x
  2. Step 2: Convert to fraction form
    46,086/98,700 = 98,700/x
  3. Step 3: Cross multiply
    46,086x = 98,700 × 98,700
  4. Step 4: Simplify right side
    46,086x = 9,741,690,000
  5. Step 5: Solve for x
    x = 9,741,690,000/46,086
  6. Step 6: Final answer
    x = 211,380.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.