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Finding the Third Proportional to 98,154 and 211,977

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Solution

The third proportional to 98,154 and 211,977 is: 457,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,154 : 211,977 = 211,977 : x
  2. Step 2: Convert to fraction form
    98,154/211,977 = 211,977/x
  3. Step 3: Cross multiply
    98,154x = 211,977 × 211,977
  4. Step 4: Simplify right side
    98,154x = 44,934,248,529
  5. Step 5: Solve for x
    x = 44,934,248,529/98,154
  6. Step 6: Final answer
    x = 457,793.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.