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Finding the Third Proportional to 83,336.34 and 132,385.64

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Solution

The third proportional to 83,336.34 and 132,385.64 is: 210,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,336.34 : 132,385.64 = 132,385.64 : x
  2. Step 2: Convert to fraction form
    83,336.34/132,385.64 = 132,385.64/x
  3. Step 3: Cross multiply
    83,336.34x = 132,385.64 × 132,385.64
  4. Step 4: Simplify right side
    83,336.34x = 17,525,957,843.69
  5. Step 5: Solve for x
    x = 17,525,957,843.69/83,336.34
  6. Step 6: Final answer
    x = 210,303.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.