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Finding the Third Proportional to 101,835 and 221,742

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Solution

The third proportional to 101,835 and 221,742 is: 482,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,835 : 221,742 = 221,742 : x
  2. Step 2: Convert to fraction form
    101,835/221,742 = 221,742/x
  3. Step 3: Cross multiply
    101,835x = 221,742 × 221,742
  4. Step 4: Simplify right side
    101,835x = 49,169,514,564
  5. Step 5: Solve for x
    x = 49,169,514,564/101,835
  6. Step 6: Final answer
    x = 482,835.12

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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.