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Finding the Third Proportional to 41,693 and 98,359.50

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Solution

The third proportional to 41,693 and 98,359.50 is: 232,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,693 : 98,359.50 = 98,359.50 : x
  2. Step 2: Convert to fraction form
    41,693/98,359.50 = 98,359.50/x
  3. Step 3: Cross multiply
    41,693x = 98,359.50 × 98,359.50
  4. Step 4: Simplify right side
    41,693x = 9,674,591,240.25
  5. Step 5: Solve for x
    x = 9,674,591,240.25/41,693
  6. Step 6: Final answer
    x = 232,043.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.