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Finding the Third Proportional to 119,158.31 and 166,667.63

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Solution

The third proportional to 119,158.31 and 166,667.63 is: 233,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.31 : 166,667.63 = 166,667.63 : x
  2. Step 2: Convert to fraction form
    119,158.31/166,667.63 = 166,667.63/x
  3. Step 3: Cross multiply
    119,158.31x = 166,667.63 × 166,667.63
  4. Step 4: Simplify right side
    119,158.31x = 27,778,097,223.14
  5. Step 5: Solve for x
    x = 27,778,097,223.14/119,158.31
  6. Step 6: Final answer
    x = 233,119.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.