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Finding the Third Proportional to 83,215.69 and 176,797.69

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Solution

The third proportional to 83,215.69 and 176,797.69 is: 375,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.69 : 176,797.69 = 176,797.69 : x
  2. Step 2: Convert to fraction form
    83,215.69/176,797.69 = 176,797.69/x
  3. Step 3: Cross multiply
    83,215.69x = 176,797.69 × 176,797.69
  4. Step 4: Simplify right side
    83,215.69x = 31,257,422,305.35
  5. Step 5: Solve for x
    x = 31,257,422,305.35/83,215.69
  6. Step 6: Final answer
    x = 375,619.35

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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.