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Finding the Third Proportional to 140,965.88 and 215,914.50

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Solution

The third proportional to 140,965.88 and 215,914.50 is: 330,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,965.88 : 215,914.50 = 215,914.50 : x
  2. Step 2: Convert to fraction form
    140,965.88/215,914.50 = 215,914.50/x
  3. Step 3: Cross multiply
    140,965.88x = 215,914.50 × 215,914.50
  4. Step 4: Simplify right side
    140,965.88x = 46,619,071,310.25
  5. Step 5: Solve for x
    x = 46,619,071,310.25/140,965.88
  6. Step 6: Final answer
    x = 330,711.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.