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Finding the Third Proportional to 149,814.56 and 201,846.94

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Solution

The third proportional to 149,814.56 and 201,846.94 is: 271,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,814.56 : 201,846.94 = 201,846.94 : x
  2. Step 2: Convert to fraction form
    149,814.56/201,846.94 = 201,846.94/x
  3. Step 3: Cross multiply
    149,814.56x = 201,846.94 × 201,846.94
  4. Step 4: Simplify right side
    149,814.56x = 40,742,186,178.13
  5. Step 5: Solve for x
    x = 40,742,186,178.13/149,814.56
  6. Step 6: Final answer
    x = 271,950.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.