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Finding the Third Proportional to 96,411 and 207,621

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Solution

The third proportional to 96,411 and 207,621 is: 447,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,411 : 207,621 = 207,621 : x
  2. Step 2: Convert to fraction form
    96,411/207,621 = 207,621/x
  3. Step 3: Cross multiply
    96,411x = 207,621 × 207,621
  4. Step 4: Simplify right side
    96,411x = 43,106,479,641
  5. Step 5: Solve for x
    x = 43,106,479,641/96,411
  6. Step 6: Final answer
    x = 447,111.63

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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.