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Finding the Third Proportional to 201,398,526 and 440,236,973

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Solution

The third proportional to 201,398,526 and 440,236,973 is: 962,313,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398,526 : 440,236,973 = 440,236,973 : x
  2. Step 2: Convert to fraction form
    201,398,526/440,236,973 = 440,236,973/x
  3. Step 3: Cross multiply
    201,398,526x = 440,236,973 × 440,236,973
  4. Step 4: Simplify right side
    201,398,526x = 193,808,592,396,202,720
  5. Step 5: Solve for x
    x = 193,808,592,396,202,720/201,398,526
  6. Step 6: Final answer
    x = 962,313,857.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.