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Finding the Third Proportional to 45,314 and 96,828

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Solution

The third proportional to 45,314 and 96,828 is: 206,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314 : 96,828 = 96,828 : x
  2. Step 2: Convert to fraction form
    45,314/96,828 = 96,828/x
  3. Step 3: Cross multiply
    45,314x = 96,828 × 96,828
  4. Step 4: Simplify right side
    45,314x = 9,375,661,584
  5. Step 5: Solve for x
    x = 9,375,661,584/45,314
  6. Step 6: Final answer
    x = 206,904.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.