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Finding the Third Proportional to 97,926 and 201,648

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Solution

The third proportional to 97,926 and 201,648 is: 415,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,926 : 201,648 = 201,648 : x
  2. Step 2: Convert to fraction form
    97,926/201,648 = 201,648/x
  3. Step 3: Cross multiply
    97,926x = 201,648 × 201,648
  4. Step 4: Simplify right side
    97,926x = 40,661,915,904
  5. Step 5: Solve for x
    x = 40,661,915,904/97,926
  6. Step 6: Final answer
    x = 415,231.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.