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Finding the Third Proportional to 46,769 and 96,864

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Solution

The third proportional to 46,769 and 96,864 is: 200,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769 : 96,864 = 96,864 : x
  2. Step 2: Convert to fraction form
    46,769/96,864 = 96,864/x
  3. Step 3: Cross multiply
    46,769x = 96,864 × 96,864
  4. Step 4: Simplify right side
    46,769x = 9,382,634,496
  5. Step 5: Solve for x
    x = 9,382,634,496/46,769
  6. Step 6: Final answer
    x = 200,616.53

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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.