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Finding the Third Proportional to 38,147.63 and 83,127.94

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Solution

The third proportional to 38,147.63 and 83,127.94 is: 181,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,147.63 : 83,127.94 = 83,127.94 : x
  2. Step 2: Convert to fraction form
    38,147.63/83,127.94 = 83,127.94/x
  3. Step 3: Cross multiply
    38,147.63x = 83,127.94 × 83,127.94
  4. Step 4: Simplify right side
    38,147.63x = 6,910,253,993.00
  5. Step 5: Solve for x
    x = 6,910,253,993.00/38,147.63
  6. Step 6: Final answer
    x = 181,145.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.