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Finding the Third Proportional to 151,563.66 and 210,735.11

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Solution

The third proportional to 151,563.66 and 210,735.11 is: 293,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,563.66 : 210,735.11 = 210,735.11 : x
  2. Step 2: Convert to fraction form
    151,563.66/210,735.11 = 210,735.11/x
  3. Step 3: Cross multiply
    151,563.66x = 210,735.11 × 210,735.11
  4. Step 4: Simplify right side
    151,563.66x = 44,409,284,676.93
  5. Step 5: Solve for x
    x = 44,409,284,676.93/151,563.66
  6. Step 6: Final answer
    x = 293,007.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.