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Finding the Third Proportional to 92,588 and 199,390

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Solution

The third proportional to 92,588 and 199,390 is: 429,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,588 : 199,390 = 199,390 : x
  2. Step 2: Convert to fraction form
    92,588/199,390 = 199,390/x
  3. Step 3: Cross multiply
    92,588x = 199,390 × 199,390
  4. Step 4: Simplify right side
    92,588x = 39,756,372,100
  5. Step 5: Solve for x
    x = 39,756,372,100/92,588
  6. Step 6: Final answer
    x = 429,390.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.