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Finding the Third Proportional to 46,186 and 97,884

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Solution

The third proportional to 46,186 and 97,884 is: 207,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186 : 97,884 = 97,884 : x
  2. Step 2: Convert to fraction form
    46,186/97,884 = 97,884/x
  3. Step 3: Cross multiply
    46,186x = 97,884 × 97,884
  4. Step 4: Simplify right side
    46,186x = 9,581,277,456
  5. Step 5: Solve for x
    x = 9,581,277,456/46,186
  6. Step 6: Final answer
    x = 207,449.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.