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Finding the Third Proportional to 103,630 and 221,964

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Solution

The third proportional to 103,630 and 221,964 is: 475,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,630 : 221,964 = 221,964 : x
  2. Step 2: Convert to fraction form
    103,630/221,964 = 221,964/x
  3. Step 3: Cross multiply
    103,630x = 221,964 × 221,964
  4. Step 4: Simplify right side
    103,630x = 49,268,017,296
  5. Step 5: Solve for x
    x = 49,268,017,296/103,630
  6. Step 6: Final answer
    x = 475,422.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.