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Finding the Third Proportional to 88,837 and 190,850

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Solution

The third proportional to 88,837 and 190,850 is: 410,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,837 : 190,850 = 190,850 : x
  2. Step 2: Convert to fraction form
    88,837/190,850 = 190,850/x
  3. Step 3: Cross multiply
    88,837x = 190,850 × 190,850
  4. Step 4: Simplify right side
    88,837x = 36,423,722,500
  5. Step 5: Solve for x
    x = 36,423,722,500/88,837
  6. Step 6: Final answer
    x = 410,006.22

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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.