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Finding the Third Proportional to 46,987 and 97,861.75

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Solution

The third proportional to 46,987 and 97,861.75 is: 203,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,987 : 97,861.75 = 97,861.75 : x
  2. Step 2: Convert to fraction form
    46,987/97,861.75 = 97,861.75/x
  3. Step 3: Cross multiply
    46,987x = 97,861.75 × 97,861.75
  4. Step 4: Simplify right side
    46,987x = 9,576,922,113.06
  5. Step 5: Solve for x
    x = 9,576,922,113.06/46,987
  6. Step 6: Final answer
    x = 203,820.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.