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Finding the Third Proportional to 96,519 and 213,693

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Solution

The third proportional to 96,519 and 213,693 is: 473,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,519 : 213,693 = 213,693 : x
  2. Step 2: Convert to fraction form
    96,519/213,693 = 213,693/x
  3. Step 3: Cross multiply
    96,519x = 213,693 × 213,693
  4. Step 4: Simplify right side
    96,519x = 45,664,698,249
  5. Step 5: Solve for x
    x = 45,664,698,249/96,519
  6. Step 6: Final answer
    x = 473,116.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.