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Finding the Third Proportional to 48,815.50 and 100,546.50

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Solution

The third proportional to 48,815.50 and 100,546.50 is: 207,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,815.50 : 100,546.50 = 100,546.50 : x
  2. Step 2: Convert to fraction form
    48,815.50/100,546.50 = 100,546.50/x
  3. Step 3: Cross multiply
    48,815.50x = 100,546.50 × 100,546.50
  4. Step 4: Simplify right side
    48,815.50x = 10,109,598,662.25
  5. Step 5: Solve for x
    x = 10,109,598,662.25/48,815.50
  6. Step 6: Final answer
    x = 207,098.13

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.