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Finding the Third Proportional to 96,394.50 and 213,435

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Solution

The third proportional to 96,394.50 and 213,435 is: 472,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394.50 : 213,435 = 213,435 : x
  2. Step 2: Convert to fraction form
    96,394.50/213,435 = 213,435/x
  3. Step 3: Cross multiply
    96,394.50x = 213,435 × 213,435
  4. Step 4: Simplify right side
    96,394.50x = 45,554,499,225
  5. Step 5: Solve for x
    x = 45,554,499,225/96,394.50
  6. Step 6: Final answer
    x = 472,584.01

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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.