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Finding the Third Proportional to 82,996.88 and 178,088.63

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Solution

The third proportional to 82,996.88 and 178,088.63 is: 382,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,996.88 : 178,088.63 = 178,088.63 : x
  2. Step 2: Convert to fraction form
    82,996.88/178,088.63 = 178,088.63/x
  3. Step 3: Cross multiply
    82,996.88x = 178,088.63 × 178,088.63
  4. Step 4: Simplify right side
    82,996.88x = 31,715,558,354.39
  5. Step 5: Solve for x
    x = 31,715,558,354.39/82,996.88
  6. Step 6: Final answer
    x = 382,129.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.