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Finding the Third Proportional to 92,204 and 201,091

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Solution

The third proportional to 92,204 and 201,091 is: 438,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,204 : 201,091 = 201,091 : x
  2. Step 2: Convert to fraction form
    92,204/201,091 = 201,091/x
  3. Step 3: Cross multiply
    92,204x = 201,091 × 201,091
  4. Step 4: Simplify right side
    92,204x = 40,437,590,281
  5. Step 5: Solve for x
    x = 40,437,590,281/92,204
  6. Step 6: Final answer
    x = 438,566.55

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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.