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Finding the Third Proportional to 98,371 and 211,078

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Solution

The third proportional to 98,371 and 211,078 is: 452,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,371 : 211,078 = 211,078 : x
  2. Step 2: Convert to fraction form
    98,371/211,078 = 211,078/x
  3. Step 3: Cross multiply
    98,371x = 211,078 × 211,078
  4. Step 4: Simplify right side
    98,371x = 44,553,922,084
  5. Step 5: Solve for x
    x = 44,553,922,084/98,371
  6. Step 6: Final answer
    x = 452,917.24

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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.