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Finding the Third Proportional to 82,900.97 and 176,645.81

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Solution

The third proportional to 82,900.97 and 176,645.81 is: 376,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,900.97 : 176,645.81 = 176,645.81 : x
  2. Step 2: Convert to fraction form
    82,900.97/176,645.81 = 176,645.81/x
  3. Step 3: Cross multiply
    82,900.97x = 176,645.81 × 176,645.81
  4. Step 4: Simplify right side
    82,900.97x = 31,203,743,073.79
  5. Step 5: Solve for x
    x = 31,203,743,073.79/82,900.97
  6. Step 6: Final answer
    x = 376,397.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.