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Finding the Third Proportional to 146,066.63 and 218,516.13

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Solution

The third proportional to 146,066.63 and 218,516.13 is: 326,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,066.63 : 218,516.13 = 218,516.13 : x
  2. Step 2: Convert to fraction form
    146,066.63/218,516.13 = 218,516.13/x
  3. Step 3: Cross multiply
    146,066.63x = 218,516.13 × 218,516.13
  4. Step 4: Simplify right side
    146,066.63x = 47,749,296,885.02
  5. Step 5: Solve for x
    x = 47,749,296,885.02/146,066.63
  6. Step 6: Final answer
    x = 326,900.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.