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Finding the Third Proportional to 102,511 and 221,870

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Solution

The third proportional to 102,511 and 221,870 is: 480,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511 : 221,870 = 221,870 : x
  2. Step 2: Convert to fraction form
    102,511/221,870 = 221,870/x
  3. Step 3: Cross multiply
    102,511x = 221,870 × 221,870
  4. Step 4: Simplify right side
    102,511x = 49,226,296,900
  5. Step 5: Solve for x
    x = 49,226,296,900/102,511
  6. Step 6: Final answer
    x = 480,205.02

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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.