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Finding the Third Proportional to 98,476 and 216,634

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Solution

The third proportional to 98,476 and 216,634 is: 476,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476 : 216,634 = 216,634 : x
  2. Step 2: Convert to fraction form
    98,476/216,634 = 216,634/x
  3. Step 3: Cross multiply
    98,476x = 216,634 × 216,634
  4. Step 4: Simplify right side
    98,476x = 46,930,289,956
  5. Step 5: Solve for x
    x = 46,930,289,956/98,476
  6. Step 6: Final answer
    x = 476,565.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.