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Finding the Third Proportional to 46,497 and 101,844

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Solution

The third proportional to 46,497 and 101,844 is: 223,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,497 : 101,844 = 101,844 : x
  2. Step 2: Convert to fraction form
    46,497/101,844 = 101,844/x
  3. Step 3: Cross multiply
    46,497x = 101,844 × 101,844
  4. Step 4: Simplify right side
    46,497x = 10,372,200,336
  5. Step 5: Solve for x
    x = 10,372,200,336/46,497
  6. Step 6: Final answer
    x = 223,072.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.