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Finding the Third Proportional to 96,309 and 205,083

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Solution

The third proportional to 96,309 and 205,083 is: 436,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309 : 205,083 = 205,083 : x
  2. Step 2: Convert to fraction form
    96,309/205,083 = 205,083/x
  3. Step 3: Cross multiply
    96,309x = 205,083 × 205,083
  4. Step 4: Simplify right side
    96,309x = 42,059,036,889
  5. Step 5: Solve for x
    x = 42,059,036,889/96,309
  6. Step 6: Final answer
    x = 436,709.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.