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Finding the Third Proportional to 98,082 and 207,934.50

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Solution

The third proportional to 98,082 and 207,934.50 is: 440,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,082 : 207,934.50 = 207,934.50 : x
  2. Step 2: Convert to fraction form
    98,082/207,934.50 = 207,934.50/x
  3. Step 3: Cross multiply
    98,082x = 207,934.50 × 207,934.50
  4. Step 4: Simplify right side
    98,082x = 43,236,756,290.25
  5. Step 5: Solve for x
    x = 43,236,756,290.25/98,082
  6. Step 6: Final answer
    x = 440,822.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.