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Finding the Third Proportional to 102,389.50 and 221,427

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Solution

The third proportional to 102,389.50 and 221,427 is: 478,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,389.50 : 221,427 = 221,427 : x
  2. Step 2: Convert to fraction form
    102,389.50/221,427 = 221,427/x
  3. Step 3: Cross multiply
    102,389.50x = 221,427 × 221,427
  4. Step 4: Simplify right side
    102,389.50x = 49,029,916,329
  5. Step 5: Solve for x
    x = 49,029,916,329/102,389.50
  6. Step 6: Final answer
    x = 478,856.88

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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.