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Finding the Third Proportional to 83,176.64 and 176,735.83

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Solution

The third proportional to 83,176.64 and 176,735.83 is: 375,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.64 : 176,735.83 = 176,735.83 : x
  2. Step 2: Convert to fraction form
    83,176.64/176,735.83 = 176,735.83/x
  3. Step 3: Cross multiply
    83,176.64x = 176,735.83 × 176,735.83
  4. Step 4: Simplify right side
    83,176.64x = 31,235,553,633.40
  5. Step 5: Solve for x
    x = 31,235,553,633.40/83,176.64
  6. Step 6: Final answer
    x = 375,532.78

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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.