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Finding the Third Proportional to 103,471.50 and 221,701

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Solution

The third proportional to 103,471.50 and 221,701 is: 475,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,471.50 : 221,701 = 221,701 : x
  2. Step 2: Convert to fraction form
    103,471.50/221,701 = 221,701/x
  3. Step 3: Cross multiply
    103,471.50x = 221,701 × 221,701
  4. Step 4: Simplify right side
    103,471.50x = 49,151,333,401
  5. Step 5: Solve for x
    x = 49,151,333,401/103,471.50
  6. Step 6: Final answer
    x = 475,022.91

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