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Finding the Third Proportional to 83,383.88 and 185,419.13

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Solution

The third proportional to 83,383.88 and 185,419.13 is: 412,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,383.88 : 185,419.13 = 185,419.13 : x
  2. Step 2: Convert to fraction form
    83,383.88/185,419.13 = 185,419.13/x
  3. Step 3: Cross multiply
    83,383.88x = 185,419.13 × 185,419.13
  4. Step 4: Simplify right side
    83,383.88x = 34,380,251,915.77
  5. Step 5: Solve for x
    x = 34,380,251,915.77/83,383.88
  6. Step 6: Final answer
    x = 412,312.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.