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Finding the Third Proportional to 98,126 and 213,964

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Solution

The third proportional to 98,126 and 213,964 is: 466,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,126 : 213,964 = 213,964 : x
  2. Step 2: Convert to fraction form
    98,126/213,964 = 213,964/x
  3. Step 3: Cross multiply
    98,126x = 213,964 × 213,964
  4. Step 4: Simplify right side
    98,126x = 45,780,593,296
  5. Step 5: Solve for x
    x = 45,780,593,296/98,126
  6. Step 6: Final answer
    x = 466,549.06

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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.