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Finding the Third Proportional to 96,957 and 213,354

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Solution

The third proportional to 96,957 and 213,354 is: 469,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,957 : 213,354 = 213,354 : x
  2. Step 2: Convert to fraction form
    96,957/213,354 = 213,354/x
  3. Step 3: Cross multiply
    96,957x = 213,354 × 213,354
  4. Step 4: Simplify right side
    96,957x = 45,519,929,316
  5. Step 5: Solve for x
    x = 45,519,929,316/96,957
  6. Step 6: Final answer
    x = 469,485.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.