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Finding the Third Proportional to 98,992 and 207,704

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Solution

The third proportional to 98,992 and 207,704 is: 435,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,992 : 207,704 = 207,704 : x
  2. Step 2: Convert to fraction form
    98,992/207,704 = 207,704/x
  3. Step 3: Cross multiply
    98,992x = 207,704 × 207,704
  4. Step 4: Simplify right side
    98,992x = 43,140,951,616
  5. Step 5: Solve for x
    x = 43,140,951,616/98,992
  6. Step 6: Final answer
    x = 435,802.40

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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.