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Finding the Third Proportional to 87,416 and 190,702

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Solution

The third proportional to 87,416 and 190,702 is: 416,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,416 : 190,702 = 190,702 : x
  2. Step 2: Convert to fraction form
    87,416/190,702 = 190,702/x
  3. Step 3: Cross multiply
    87,416x = 190,702 × 190,702
  4. Step 4: Simplify right side
    87,416x = 36,367,252,804
  5. Step 5: Solve for x
    x = 36,367,252,804/87,416
  6. Step 6: Final answer
    x = 416,025.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.