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Finding the Third Proportional to 46,390 and 101,474

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Solution

The third proportional to 46,390 and 101,474 is: 221,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,390 : 101,474 = 101,474 : x
  2. Step 2: Convert to fraction form
    46,390/101,474 = 101,474/x
  3. Step 3: Cross multiply
    46,390x = 101,474 × 101,474
  4. Step 4: Simplify right side
    46,390x = 10,296,972,676
  5. Step 5: Solve for x
    x = 10,296,972,676/46,390
  6. Step 6: Final answer
    x = 221,965.35

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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.