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Finding the Third Proportional to 96,974 and 205,688

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Solution

The third proportional to 96,974 and 205,688 is: 436,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,974 : 205,688 = 205,688 : x
  2. Step 2: Convert to fraction form
    96,974/205,688 = 205,688/x
  3. Step 3: Cross multiply
    96,974x = 205,688 × 205,688
  4. Step 4: Simplify right side
    96,974x = 42,307,553,344
  5. Step 5: Solve for x
    x = 42,307,553,344/96,974
  6. Step 6: Final answer
    x = 436,277.28

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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.