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Finding the Third Proportional to 47,991.23 and 103,340.81

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Solution

The third proportional to 47,991.23 and 103,340.81 is: 222,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,991.23 : 103,340.81 = 103,340.81 : x
  2. Step 2: Convert to fraction form
    47,991.23/103,340.81 = 103,340.81/x
  3. Step 3: Cross multiply
    47,991.23x = 103,340.81 × 103,340.81
  4. Step 4: Simplify right side
    47,991.23x = 10,679,323,528.16
  5. Step 5: Solve for x
    x = 10,679,323,528.16/47,991.23
  6. Step 6: Final answer
    x = 222,526.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.