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Finding the Third Proportional to 87,733.50 and 186,403.50

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Solution

The third proportional to 87,733.50 and 186,403.50 is: 396,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,733.50 : 186,403.50 = 186,403.50 : x
  2. Step 2: Convert to fraction form
    87,733.50/186,403.50 = 186,403.50/x
  3. Step 3: Cross multiply
    87,733.50x = 186,403.50 × 186,403.50
  4. Step 4: Simplify right side
    87,733.50x = 34,746,264,812.25
  5. Step 5: Solve for x
    x = 34,746,264,812.25/87,733.50
  6. Step 6: Final answer
    x = 396,043.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.