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Finding the Third Proportional to 220,101.05 and 463,849.03

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Solution

The third proportional to 220,101.05 and 463,849.03 is: 977,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,101.05 : 463,849.03 = 463,849.03 : x
  2. Step 2: Convert to fraction form
    220,101.05/463,849.03 = 463,849.03/x
  3. Step 3: Cross multiply
    220,101.05x = 463,849.03 × 463,849.03
  4. Step 4: Simplify right side
    220,101.05x = 215,155,923,791.56
  5. Step 5: Solve for x
    x = 215,155,923,791.56/220,101.05
  6. Step 6: Final answer
    x = 977,532.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.