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Finding the Third Proportional to 201,913.88 and 440,503.13

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Solution

The third proportional to 201,913.88 and 440,503.13 is: 961,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913.88 : 440,503.13 = 440,503.13 : x
  2. Step 2: Convert to fraction form
    201,913.88/440,503.13 = 440,503.13/x
  3. Step 3: Cross multiply
    201,913.88x = 440,503.13 × 440,503.13
  4. Step 4: Simplify right side
    201,913.88x = 194,043,003,134.77
  5. Step 5: Solve for x
    x = 194,043,003,134.77/201,913.88
  6. Step 6: Final answer
    x = 961,018.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.