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Finding the Third Proportional to 92,891.25 and 197,770.50

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Solution

The third proportional to 92,891.25 and 197,770.50 is: 421,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,891.25 : 197,770.50 = 197,770.50 : x
  2. Step 2: Convert to fraction form
    92,891.25/197,770.50 = 197,770.50/x
  3. Step 3: Cross multiply
    92,891.25x = 197,770.50 × 197,770.50
  4. Step 4: Simplify right side
    92,891.25x = 39,113,170,670.25
  5. Step 5: Solve for x
    x = 39,113,170,670.25/92,891.25
  6. Step 6: Final answer
    x = 421,064.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.