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Finding the Third Proportional to 90,082.13 and 208,515.94

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Solution

The third proportional to 90,082.13 and 208,515.94 is: 482,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,082.13 : 208,515.94 = 208,515.94 : x
  2. Step 2: Convert to fraction form
    90,082.13/208,515.94 = 208,515.94/x
  3. Step 3: Cross multiply
    90,082.13x = 208,515.94 × 208,515.94
  4. Step 4: Simplify right side
    90,082.13x = 43,478,896,191.50
  5. Step 5: Solve for x
    x = 43,478,896,191.50/90,082.13
  6. Step 6: Final answer
    x = 482,658.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.