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Finding the Third Proportional to 96,578.25 and 213,892.50

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Solution

The third proportional to 96,578.25 and 213,892.50 is: 473,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578.25 : 213,892.50 = 213,892.50 : x
  2. Step 2: Convert to fraction form
    96,578.25/213,892.50 = 213,892.50/x
  3. Step 3: Cross multiply
    96,578.25x = 213,892.50 × 213,892.50
  4. Step 4: Simplify right side
    96,578.25x = 45,750,001,556.25
  5. Step 5: Solve for x
    x = 45,750,001,556.25/96,578.25
  6. Step 6: Final answer
    x = 473,709.16

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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.