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Finding the Third Proportional to 103,563.56 and 221,023.69

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Solution

The third proportional to 103,563.56 and 221,023.69 is: 471,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,563.56 : 221,023.69 = 221,023.69 : x
  2. Step 2: Convert to fraction form
    103,563.56/221,023.69 = 221,023.69/x
  3. Step 3: Cross multiply
    103,563.56x = 221,023.69 × 221,023.69
  4. Step 4: Simplify right side
    103,563.56x = 48,851,470,436.10
  5. Step 5: Solve for x
    x = 48,851,470,436.10/103,563.56
  6. Step 6: Final answer
    x = 471,705.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.