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Finding the Third Proportional to 140,540.91 and 309,101.06

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Solution

The third proportional to 140,540.91 and 309,101.06 is: 679,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,540.91 : 309,101.06 = 309,101.06 : x
  2. Step 2: Convert to fraction form
    140,540.91/309,101.06 = 309,101.06/x
  3. Step 3: Cross multiply
    140,540.91x = 309,101.06 × 309,101.06
  4. Step 4: Simplify right side
    140,540.91x = 95,543,466,838.63
  5. Step 5: Solve for x
    x = 95,543,466,838.63/140,540.91
  6. Step 6: Final answer
    x = 679,826.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.