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Finding the Third Proportional to 103,350.94 and 221,462.44

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Solution

The third proportional to 103,350.94 and 221,462.44 is: 474,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,350.94 : 221,462.44 = 221,462.44 : x
  2. Step 2: Convert to fraction form
    103,350.94/221,462.44 = 221,462.44/x
  3. Step 3: Cross multiply
    103,350.94x = 221,462.44 × 221,462.44
  4. Step 4: Simplify right side
    103,350.94x = 49,045,611,223.44
  5. Step 5: Solve for x
    x = 49,045,611,223.44/103,350.94
  6. Step 6: Final answer
    x = 474,554.10

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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.