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Finding the Third Proportional to 99,054 and 207,900

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Solution

The third proportional to 99,054 and 207,900 is: 436,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,054 : 207,900 = 207,900 : x
  2. Step 2: Convert to fraction form
    99,054/207,900 = 207,900/x
  3. Step 3: Cross multiply
    99,054x = 207,900 × 207,900
  4. Step 4: Simplify right side
    99,054x = 43,222,410,000
  5. Step 5: Solve for x
    x = 43,222,410,000/99,054
  6. Step 6: Final answer
    x = 436,351.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.