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Finding the Third Proportional to 96,832.50 and 209,744.06

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Solution

The third proportional to 96,832.50 and 209,744.06 is: 454,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,832.50 : 209,744.06 = 209,744.06 : x
  2. Step 2: Convert to fraction form
    96,832.50/209,744.06 = 209,744.06/x
  3. Step 3: Cross multiply
    96,832.50x = 209,744.06 × 209,744.06
  4. Step 4: Simplify right side
    96,832.50x = 43,992,571,754.00
  5. Step 5: Solve for x
    x = 43,992,571,754.00/96,832.50
  6. Step 6: Final answer
    x = 454,316.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.