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Finding the Third Proportional to 46,489 and 95,429

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Solution

The third proportional to 46,489 and 95,429 is: 195,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489 : 95,429 = 95,429 : x
  2. Step 2: Convert to fraction form
    46,489/95,429 = 95,429/x
  3. Step 3: Cross multiply
    46,489x = 95,429 × 95,429
  4. Step 4: Simplify right side
    46,489x = 9,106,694,041
  5. Step 5: Solve for x
    x = 9,106,694,041/46,489
  6. Step 6: Final answer
    x = 195,889.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.