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Finding the Third Proportional to 92,323.69 and 198,680.06

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Solution

The third proportional to 92,323.69 and 198,680.06 is: 427,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323.69 : 198,680.06 = 198,680.06 : x
  2. Step 2: Convert to fraction form
    92,323.69/198,680.06 = 198,680.06/x
  3. Step 3: Cross multiply
    92,323.69x = 198,680.06 × 198,680.06
  4. Step 4: Simplify right side
    92,323.69x = 39,473,767,235.00
  5. Step 5: Solve for x
    x = 39,473,767,235.00/92,323.69
  6. Step 6: Final answer
    x = 427,558.39

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Why These Related Problems?

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