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Finding the Third Proportional to 89,400.50 and 186,149.50

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Solution

The third proportional to 89,400.50 and 186,149.50 is: 387,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,400.50 : 186,149.50 = 186,149.50 : x
  2. Step 2: Convert to fraction form
    89,400.50/186,149.50 = 186,149.50/x
  3. Step 3: Cross multiply
    89,400.50x = 186,149.50 × 186,149.50
  4. Step 4: Simplify right side
    89,400.50x = 34,651,636,350.25
  5. Step 5: Solve for x
    x = 34,651,636,350.25/89,400.50
  6. Step 6: Final answer
    x = 387,600.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.