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Finding the Third Proportional to 92,036.25 and 193,367.25

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Solution

The third proportional to 92,036.25 and 193,367.25 is: 406,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,036.25 : 193,367.25 = 193,367.25 : x
  2. Step 2: Convert to fraction form
    92,036.25/193,367.25 = 193,367.25/x
  3. Step 3: Cross multiply
    92,036.25x = 193,367.25 × 193,367.25
  4. Step 4: Simplify right side
    92,036.25x = 37,390,893,372.56
  5. Step 5: Solve for x
    x = 37,390,893,372.56/92,036.25
  6. Step 6: Final answer
    x = 406,262.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.