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Finding the Third Proportional to 51,690.66 and 105,568.31

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Solution

The third proportional to 51,690.66 and 105,568.31 is: 215,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690.66 : 105,568.31 = 105,568.31 : x
  2. Step 2: Convert to fraction form
    51,690.66/105,568.31 = 105,568.31/x
  3. Step 3: Cross multiply
    51,690.66x = 105,568.31 × 105,568.31
  4. Step 4: Simplify right side
    51,690.66x = 11,144,668,604.10
  5. Step 5: Solve for x
    x = 11,144,668,604.10/51,690.66
  6. Step 6: Final answer
    x = 215,603.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.