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Finding the Third Proportional to 103,535.72 and 221,821.03

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Solution

The third proportional to 103,535.72 and 221,821.03 is: 475,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,535.72 : 221,821.03 = 221,821.03 : x
  2. Step 2: Convert to fraction form
    103,535.72/221,821.03 = 221,821.03/x
  3. Step 3: Cross multiply
    103,535.72x = 221,821.03 × 221,821.03
  4. Step 4: Simplify right side
    103,535.72x = 49,204,569,904.81
  5. Step 5: Solve for x
    x = 49,204,569,904.81/103,535.72
  6. Step 6: Final answer
    x = 475,242.46

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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.