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Finding the Third Proportional to 98,081.56 and 207,934.69

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Solution

The third proportional to 98,081.56 and 207,934.69 is: 440,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081.56 : 207,934.69 = 207,934.69 : x
  2. Step 2: Convert to fraction form
    98,081.56/207,934.69 = 207,934.69/x
  3. Step 3: Cross multiply
    98,081.56x = 207,934.69 × 207,934.69
  4. Step 4: Simplify right side
    98,081.56x = 43,236,834,265.72
  5. Step 5: Solve for x
    x = 43,236,834,265.72/98,081.56
  6. Step 6: Final answer
    x = 440,825.30

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