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Finding the Third Proportional to 92,131 and 199,813

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Solution

The third proportional to 92,131 and 199,813 is: 433,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,131 : 199,813 = 199,813 : x
  2. Step 2: Convert to fraction form
    92,131/199,813 = 199,813/x
  3. Step 3: Cross multiply
    92,131x = 199,813 × 199,813
  4. Step 4: Simplify right side
    92,131x = 39,925,234,969
  5. Step 5: Solve for x
    x = 39,925,234,969/92,131
  6. Step 6: Final answer
    x = 433,352.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.