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Finding the Third Proportional to 92,300 and 201,686

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Solution

The third proportional to 92,300 and 201,686 is: 440,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,300 : 201,686 = 201,686 : x
  2. Step 2: Convert to fraction form
    92,300/201,686 = 201,686/x
  3. Step 3: Cross multiply
    92,300x = 201,686 × 201,686
  4. Step 4: Simplify right side
    92,300x = 40,677,242,596
  5. Step 5: Solve for x
    x = 40,677,242,596/92,300
  6. Step 6: Final answer
    x = 440,706.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.