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Finding the Third Proportional to 92,334.75 and 198,461.25

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Solution

The third proportional to 92,334.75 and 198,461.25 is: 426,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,334.75 : 198,461.25 = 198,461.25 : x
  2. Step 2: Convert to fraction form
    92,334.75/198,461.25 = 198,461.25/x
  3. Step 3: Cross multiply
    92,334.75x = 198,461.25 × 198,461.25
  4. Step 4: Simplify right side
    92,334.75x = 39,386,867,751.56
  5. Step 5: Solve for x
    x = 39,386,867,751.56/92,334.75
  6. Step 6: Final answer
    x = 426,566.03

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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.