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Finding the Third Proportional to 46,769 and 96,863

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Solution

The third proportional to 46,769 and 96,863 is: 200,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769 : 96,863 = 96,863 : x
  2. Step 2: Convert to fraction form
    46,769/96,863 = 96,863/x
  3. Step 3: Cross multiply
    46,769x = 96,863 × 96,863
  4. Step 4: Simplify right side
    46,769x = 9,382,440,769
  5. Step 5: Solve for x
    x = 9,382,440,769/46,769
  6. Step 6: Final answer
    x = 200,612.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.