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Finding the Third Proportional to 96,501 and 209,505

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Solution

The third proportional to 96,501 and 209,505 is: 454,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,501 : 209,505 = 209,505 : x
  2. Step 2: Convert to fraction form
    96,501/209,505 = 209,505/x
  3. Step 3: Cross multiply
    96,501x = 209,505 × 209,505
  4. Step 4: Simplify right side
    96,501x = 43,892,345,025
  5. Step 5: Solve for x
    x = 43,892,345,025/96,501
  6. Step 6: Final answer
    x = 454,838.24

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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.