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Finding the Third Proportional to 83,957.77 and 177,391.90

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Solution

The third proportional to 83,957.77 and 177,391.90 is: 374,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.77 : 177,391.90 = 177,391.90 : x
  2. Step 2: Convert to fraction form
    83,957.77/177,391.90 = 177,391.90/x
  3. Step 3: Cross multiply
    83,957.77x = 177,391.90 × 177,391.90
  4. Step 4: Simplify right side
    83,957.77x = 31,467,885,631.26
  5. Step 5: Solve for x
    x = 31,467,885,631.26/83,957.77
  6. Step 6: Final answer
    x = 374,806.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.