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Finding the Third Proportional to 96,414 and 207,633

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Solution

The third proportional to 96,414 and 207,633 is: 447,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414 : 207,633 = 207,633 : x
  2. Step 2: Convert to fraction form
    96,414/207,633 = 207,633/x
  3. Step 3: Cross multiply
    96,414x = 207,633 × 207,633
  4. Step 4: Simplify right side
    96,414x = 43,111,462,689
  5. Step 5: Solve for x
    x = 43,111,462,689/96,414
  6. Step 6: Final answer
    x = 447,149.40

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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.