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Finding the Third Proportional to 88,511 and 191,157

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Solution

The third proportional to 88,511 and 191,157 is: 412,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,511 : 191,157 = 191,157 : x
  2. Step 2: Convert to fraction form
    88,511/191,157 = 191,157/x
  3. Step 3: Cross multiply
    88,511x = 191,157 × 191,157
  4. Step 4: Simplify right side
    88,511x = 36,540,998,649
  5. Step 5: Solve for x
    x = 36,540,998,649/88,511
  6. Step 6: Final answer
    x = 412,841.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.