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Finding the Third Proportional to 96,415.45 and 207,647.30

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Solution

The third proportional to 96,415.45 and 207,647.30 is: 447,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.45 : 207,647.30 = 207,647.30 : x
  2. Step 2: Convert to fraction form
    96,415.45/207,647.30 = 207,647.30/x
  3. Step 3: Cross multiply
    96,415.45x = 207,647.30 × 207,647.30
  4. Step 4: Simplify right side
    96,415.45x = 43,117,399,899.49
  5. Step 5: Solve for x
    x = 43,117,399,899.49/96,415.45
  6. Step 6: Final answer
    x = 447,204.24

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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.