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Finding the Third Proportional to 92,979 and 201,408.75

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Solution

The third proportional to 92,979 and 201,408.75 is: 436,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,979 : 201,408.75 = 201,408.75 : x
  2. Step 2: Convert to fraction form
    92,979/201,408.75 = 201,408.75/x
  3. Step 3: Cross multiply
    92,979x = 201,408.75 × 201,408.75
  4. Step 4: Simplify right side
    92,979x = 40,565,484,576.56
  5. Step 5: Solve for x
    x = 40,565,484,576.56/92,979
  6. Step 6: Final answer
    x = 436,286.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.