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Finding the Third Proportional to 96,415.50 and 207,647.34

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Solution

The third proportional to 96,415.50 and 207,647.34 is: 447,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.50 : 207,647.34 = 207,647.34 : x
  2. Step 2: Convert to fraction form
    96,415.50/207,647.34 = 207,647.34/x
  3. Step 3: Cross multiply
    96,415.50x = 207,647.34 × 207,647.34
  4. Step 4: Simplify right side
    96,415.50x = 43,117,419,366.43
  5. Step 5: Solve for x
    x = 43,117,419,366.43/96,415.50
  6. Step 6: Final answer
    x = 447,204.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.