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Finding the Third Proportional to 96,423 and 207,642

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Solution

The third proportional to 96,423 and 207,642 is: 447,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,423 : 207,642 = 207,642 : x
  2. Step 2: Convert to fraction form
    96,423/207,642 = 207,642/x
  3. Step 3: Cross multiply
    96,423x = 207,642 × 207,642
  4. Step 4: Simplify right side
    96,423x = 43,115,200,164
  5. Step 5: Solve for x
    x = 43,115,200,164/96,423
  6. Step 6: Final answer
    x = 447,146.43

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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.