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Finding the Third Proportional to 88,677 and 188,856

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Solution

The third proportional to 88,677 and 188,856 is: 402,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,677 : 188,856 = 188,856 : x
  2. Step 2: Convert to fraction form
    88,677/188,856 = 188,856/x
  3. Step 3: Cross multiply
    88,677x = 188,856 × 188,856
  4. Step 4: Simplify right side
    88,677x = 35,666,588,736
  5. Step 5: Solve for x
    x = 35,666,588,736/88,677
  6. Step 6: Final answer
    x = 402,207.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.