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Finding the Third Proportional to 95,614.31 and 140,653.69

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Solution

The third proportional to 95,614.31 and 140,653.69 is: 206,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,614.31 : 140,653.69 = 140,653.69 : x
  2. Step 2: Convert to fraction form
    95,614.31/140,653.69 = 140,653.69/x
  3. Step 3: Cross multiply
    95,614.31x = 140,653.69 × 140,653.69
  4. Step 4: Simplify right side
    95,614.31x = 19,783,459,807.35
  5. Step 5: Solve for x
    x = 19,783,459,807.35/95,614.31
  6. Step 6: Final answer
    x = 206,908.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.