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Finding the Third Proportional to 97,508 and 201,928

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Solution

The third proportional to 97,508 and 201,928 is: 418,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508 : 201,928 = 201,928 : x
  2. Step 2: Convert to fraction form
    97,508/201,928 = 201,928/x
  3. Step 3: Cross multiply
    97,508x = 201,928 × 201,928
  4. Step 4: Simplify right side
    97,508x = 40,774,917,184
  5. Step 5: Solve for x
    x = 40,774,917,184/97,508
  6. Step 6: Final answer
    x = 418,169.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.