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Finding the Third Proportional to 91,614.16 and 140,145.82

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Solution

The third proportional to 91,614.16 and 140,145.82 is: 214,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,614.16 : 140,145.82 = 140,145.82 : x
  2. Step 2: Convert to fraction form
    91,614.16/140,145.82 = 140,145.82/x
  3. Step 3: Cross multiply
    91,614.16x = 140,145.82 × 140,145.82
  4. Step 4: Simplify right side
    91,614.16x = 19,640,850,951.06
  5. Step 5: Solve for x
    x = 19,640,850,951.06/91,614.16
  6. Step 6: Final answer
    x = 214,386.62

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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.