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Finding the Third Proportional to 97,851 and 155,524.50

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Solution

The third proportional to 97,851 and 155,524.50 is: 247,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,851 : 155,524.50 = 155,524.50 : x
  2. Step 2: Convert to fraction form
    97,851/155,524.50 = 155,524.50/x
  3. Step 3: Cross multiply
    97,851x = 155,524.50 × 155,524.50
  4. Step 4: Simplify right side
    97,851x = 24,187,870,100.25
  5. Step 5: Solve for x
    x = 24,187,870,100.25/97,851
  6. Step 6: Final answer
    x = 247,190.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.