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Finding the Third Proportional to 96,897 and 205,539

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Solution

The third proportional to 96,897 and 205,539 is: 435,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,897 : 205,539 = 205,539 : x
  2. Step 2: Convert to fraction form
    96,897/205,539 = 205,539/x
  3. Step 3: Cross multiply
    96,897x = 205,539 × 205,539
  4. Step 4: Simplify right side
    96,897x = 42,246,280,521
  5. Step 5: Solve for x
    x = 42,246,280,521/96,897
  6. Step 6: Final answer
    x = 435,991.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.