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Finding the Third Proportional to 97,105 and 207,704

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Solution

The third proportional to 97,105 and 207,704 is: 444,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105 : 207,704 = 207,704 : x
  2. Step 2: Convert to fraction form
    97,105/207,704 = 207,704/x
  3. Step 3: Cross multiply
    97,105x = 207,704 × 207,704
  4. Step 4: Simplify right side
    97,105x = 43,140,951,616
  5. Step 5: Solve for x
    x = 43,140,951,616/97,105
  6. Step 6: Final answer
    x = 444,271.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.