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Finding the Third Proportional to 133,089.75 and 206,470.69

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Solution

The third proportional to 133,089.75 and 206,470.69 is: 320,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089.75 : 206,470.69 = 206,470.69 : x
  2. Step 2: Convert to fraction form
    133,089.75/206,470.69 = 206,470.69/x
  3. Step 3: Cross multiply
    133,089.75x = 206,470.69 × 206,470.69
  4. Step 4: Simplify right side
    133,089.75x = 42,630,144,796.72
  5. Step 5: Solve for x
    x = 42,630,144,796.72/133,089.75
  6. Step 6: Final answer
    x = 320,311.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.