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Finding the Third Proportional to 189,429.89 and 405,126.56

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Solution

The third proportional to 189,429.89 and 405,126.56 is: 866,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,429.89 : 405,126.56 = 405,126.56 : x
  2. Step 2: Convert to fraction form
    189,429.89/405,126.56 = 405,126.56/x
  3. Step 3: Cross multiply
    189,429.89x = 405,126.56 × 405,126.56
  4. Step 4: Simplify right side
    189,429.89x = 164,127,531,643.07
  5. Step 5: Solve for x
    x = 164,127,531,643.07/189,429.89
  6. Step 6: Final answer
    x = 866,428.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.