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Finding the Third Proportional to 140,980.50 and 215,935.88

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Solution

The third proportional to 140,980.50 and 215,935.88 is: 330,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,980.50 : 215,935.88 = 215,935.88 : x
  2. Step 2: Convert to fraction form
    140,980.50/215,935.88 = 215,935.88/x
  3. Step 3: Cross multiply
    140,980.50x = 215,935.88 × 215,935.88
  4. Step 4: Simplify right side
    140,980.50x = 46,628,302,112.02
  5. Step 5: Solve for x
    x = 46,628,302,112.02/140,980.50
  6. Step 6: Final answer
    x = 330,742.92

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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.