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Finding the Third Proportional to 103,089 and 221,427

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Solution

The third proportional to 103,089 and 221,427 is: 475,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,089 : 221,427 = 221,427 : x
  2. Step 2: Convert to fraction form
    103,089/221,427 = 221,427/x
  3. Step 3: Cross multiply
    103,089x = 221,427 × 221,427
  4. Step 4: Simplify right side
    103,089x = 49,029,916,329
  5. Step 5: Solve for x
    x = 49,029,916,329/103,089
  6. Step 6: Final answer
    x = 475,607.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.