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Finding the Third Proportional to 92,897.50 and 204,293.25

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Solution

The third proportional to 92,897.50 and 204,293.25 is: 449,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,897.50 : 204,293.25 = 204,293.25 : x
  2. Step 2: Convert to fraction form
    92,897.50/204,293.25 = 204,293.25/x
  3. Step 3: Cross multiply
    92,897.50x = 204,293.25 × 204,293.25
  4. Step 4: Simplify right side
    92,897.50x = 41,735,731,995.56
  5. Step 5: Solve for x
    x = 41,735,731,995.56/92,897.50
  6. Step 6: Final answer
    x = 449,266.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.