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Finding the Third Proportional to 87,316 and 190,622

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Solution

The third proportional to 87,316 and 190,622 is: 416,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,316 : 190,622 = 190,622 : x
  2. Step 2: Convert to fraction form
    87,316/190,622 = 190,622/x
  3. Step 3: Cross multiply
    87,316x = 190,622 × 190,622
  4. Step 4: Simplify right side
    87,316x = 36,336,746,884
  5. Step 5: Solve for x
    x = 36,336,746,884/87,316
  6. Step 6: Final answer
    x = 416,152.22

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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.