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Finding the Third Proportional to 96,912 and 210,384

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Solution

The third proportional to 96,912 and 210,384 is: 456,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912 : 210,384 = 210,384 : x
  2. Step 2: Convert to fraction form
    96,912/210,384 = 210,384/x
  3. Step 3: Cross multiply
    96,912x = 210,384 × 210,384
  4. Step 4: Simplify right side
    96,912x = 44,261,427,456
  5. Step 5: Solve for x
    x = 44,261,427,456/96,912
  6. Step 6: Final answer
    x = 456,717.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.