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Finding the Third Proportional to 92,644.50 and 202,017

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Solution

The third proportional to 92,644.50 and 202,017 is: 440,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,644.50 : 202,017 = 202,017 : x
  2. Step 2: Convert to fraction form
    92,644.50/202,017 = 202,017/x
  3. Step 3: Cross multiply
    92,644.50x = 202,017 × 202,017
  4. Step 4: Simplify right side
    92,644.50x = 40,810,868,289
  5. Step 5: Solve for x
    x = 40,810,868,289/92,644.50
  6. Step 6: Final answer
    x = 440,510.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.