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Finding the Third Proportional to 46,366 and 97,859

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Solution

The third proportional to 46,366 and 97,859 is: 206,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,366 : 97,859 = 97,859 : x
  2. Step 2: Convert to fraction form
    46,366/97,859 = 97,859/x
  3. Step 3: Cross multiply
    46,366x = 97,859 × 97,859
  4. Step 4: Simplify right side
    46,366x = 9,576,383,881
  5. Step 5: Solve for x
    x = 9,576,383,881/46,366
  6. Step 6: Final answer
    x = 206,538.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.