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Finding the Third Proportional to 96,816 and 212,264

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Solution

The third proportional to 96,816 and 212,264 is: 465,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816 : 212,264 = 212,264 : x
  2. Step 2: Convert to fraction form
    96,816/212,264 = 212,264/x
  3. Step 3: Cross multiply
    96,816x = 212,264 × 212,264
  4. Step 4: Simplify right side
    96,816x = 45,056,005,696
  5. Step 5: Solve for x
    x = 45,056,005,696/96,816
  6. Step 6: Final answer
    x = 465,377.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.