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Finding the Third Proportional to 96,888.50 and 208,621

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Solution

The third proportional to 96,888.50 and 208,621 is: 449,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,888.50 : 208,621 = 208,621 : x
  2. Step 2: Convert to fraction form
    96,888.50/208,621 = 208,621/x
  3. Step 3: Cross multiply
    96,888.50x = 208,621 × 208,621
  4. Step 4: Simplify right side
    96,888.50x = 43,522,721,641
  5. Step 5: Solve for x
    x = 43,522,721,641/96,888.50
  6. Step 6: Final answer
    x = 449,204.21

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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.