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Finding the Third Proportional to 98,396 and 211,126

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Solution

The third proportional to 98,396 and 211,126 is: 453,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396 : 211,126 = 211,126 : x
  2. Step 2: Convert to fraction form
    98,396/211,126 = 211,126/x
  3. Step 3: Cross multiply
    98,396x = 211,126 × 211,126
  4. Step 4: Simplify right side
    98,396x = 44,574,187,876
  5. Step 5: Solve for x
    x = 44,574,187,876/98,396
  6. Step 6: Final answer
    x = 453,008.13

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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.