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Finding the Third Proportional to 106,656.75 and 246,913.31

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Solution

The third proportional to 106,656.75 and 246,913.31 is: 571,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.75 : 246,913.31 = 246,913.31 : x
  2. Step 2: Convert to fraction form
    106,656.75/246,913.31 = 246,913.31/x
  3. Step 3: Cross multiply
    106,656.75x = 246,913.31 × 246,913.31
  4. Step 4: Simplify right side
    106,656.75x = 60,966,183,889.72
  5. Step 5: Solve for x
    x = 60,966,183,889.72/106,656.75
  6. Step 6: Final answer
    x = 571,611.12

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.