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Finding the Third Proportional to 46,071 and 99,414

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Solution

The third proportional to 46,071 and 99,414 is: 214,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,071 : 99,414 = 99,414 : x
  2. Step 2: Convert to fraction form
    46,071/99,414 = 99,414/x
  3. Step 3: Cross multiply
    46,071x = 99,414 × 99,414
  4. Step 4: Simplify right side
    46,071x = 9,883,143,396
  5. Step 5: Solve for x
    x = 9,883,143,396/46,071
  6. Step 6: Final answer
    x = 214,519.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.