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Finding the Third Proportional to 138,183.47 and 292,975.31

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Solution

The third proportional to 138,183.47 and 292,975.31 is: 621,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,183.47 : 292,975.31 = 292,975.31 : x
  2. Step 2: Convert to fraction form
    138,183.47/292,975.31 = 292,975.31/x
  3. Step 3: Cross multiply
    138,183.47x = 292,975.31 × 292,975.31
  4. Step 4: Simplify right side
    138,183.47x = 85,834,533,734.47
  5. Step 5: Solve for x
    x = 85,834,533,734.47/138,183.47
  6. Step 6: Final answer
    x = 621,163.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.