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Finding the Third Proportional to 105,236.50 and 187,098.50

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Solution

The third proportional to 105,236.50 and 187,098.50 is: 332,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,236.50 : 187,098.50 = 187,098.50 : x
  2. Step 2: Convert to fraction form
    105,236.50/187,098.50 = 187,098.50/x
  3. Step 3: Cross multiply
    105,236.50x = 187,098.50 × 187,098.50
  4. Step 4: Simplify right side
    105,236.50x = 35,005,848,702.25
  5. Step 5: Solve for x
    x = 35,005,848,702.25/105,236.50
  6. Step 6: Final answer
    x = 332,639.80

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.