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Finding the Third Proportional to 96,970 and 205,678

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Solution

The third proportional to 96,970 and 205,678 is: 436,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,970 : 205,678 = 205,678 : x
  2. Step 2: Convert to fraction form
    96,970/205,678 = 205,678/x
  3. Step 3: Cross multiply
    96,970x = 205,678 × 205,678
  4. Step 4: Simplify right side
    96,970x = 42,303,439,684
  5. Step 5: Solve for x
    x = 42,303,439,684/96,970
  6. Step 6: Final answer
    x = 436,252.86

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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.