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Finding the Third Proportional to 91,818 and 193,657.50

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Solution

The third proportional to 91,818 and 193,657.50 is: 408,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,818 : 193,657.50 = 193,657.50 : x
  2. Step 2: Convert to fraction form
    91,818/193,657.50 = 193,657.50/x
  3. Step 3: Cross multiply
    91,818x = 193,657.50 × 193,657.50
  4. Step 4: Simplify right side
    91,818x = 37,503,227,306.25
  5. Step 5: Solve for x
    x = 37,503,227,306.25/91,818
  6. Step 6: Final answer
    x = 408,451.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.