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Finding the Third Proportional to 98,511 and 213,534

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Solution

The third proportional to 98,511 and 213,534 is: 462,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,511 : 213,534 = 213,534 : x
  2. Step 2: Convert to fraction form
    98,511/213,534 = 213,534/x
  3. Step 3: Cross multiply
    98,511x = 213,534 × 213,534
  4. Step 4: Simplify right side
    98,511x = 45,596,769,156
  5. Step 5: Solve for x
    x = 45,596,769,156/98,511
  6. Step 6: Final answer
    x = 462,859.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.