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Finding the Third Proportional to 96,468 and 207,732

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Solution

The third proportional to 96,468 and 207,732 is: 447,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,468 : 207,732 = 207,732 : x
  2. Step 2: Convert to fraction form
    96,468/207,732 = 207,732/x
  3. Step 3: Cross multiply
    96,468x = 207,732 × 207,732
  4. Step 4: Simplify right side
    96,468x = 43,152,583,824
  5. Step 5: Solve for x
    x = 43,152,583,824/96,468
  6. Step 6: Final answer
    x = 447,325.37

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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.