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Finding the Third Proportional to 88,411 and 190,941

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Solution

The third proportional to 88,411 and 190,941 is: 412,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,411 : 190,941 = 190,941 : x
  2. Step 2: Convert to fraction form
    88,411/190,941 = 190,941/x
  3. Step 3: Cross multiply
    88,411x = 190,941 × 190,941
  4. Step 4: Simplify right side
    88,411x = 36,458,465,481
  5. Step 5: Solve for x
    x = 36,458,465,481/88,411
  6. Step 6: Final answer
    x = 412,374.77

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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.