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Finding the Third Proportional to 96,982 and 209,264

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Solution

The third proportional to 96,982 and 209,264 is: 451,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,982 : 209,264 = 209,264 : x
  2. Step 2: Convert to fraction form
    96,982/209,264 = 209,264/x
  3. Step 3: Cross multiply
    96,982x = 209,264 × 209,264
  4. Step 4: Simplify right side
    96,982x = 43,791,421,696
  5. Step 5: Solve for x
    x = 43,791,421,696/96,982
  6. Step 6: Final answer
    x = 451,541.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.