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Finding the Third Proportional to 92,522.81 and 199,450.13

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Solution

The third proportional to 92,522.81 and 199,450.13 is: 429,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,522.81 : 199,450.13 = 199,450.13 : x
  2. Step 2: Convert to fraction form
    92,522.81/199,450.13 = 199,450.13/x
  3. Step 3: Cross multiply
    92,522.81x = 199,450.13 × 199,450.13
  4. Step 4: Simplify right side
    92,522.81x = 39,780,352,362.52
  5. Step 5: Solve for x
    x = 39,780,352,362.52/92,522.81
  6. Step 6: Final answer
    x = 429,951.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.