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Finding the Third Proportional to 192,461,522 and 278,073,723

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Solution

The third proportional to 192,461,522 and 278,073,723 is: 401,768,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,461,522 : 278,073,723 = 278,073,723 : x
  2. Step 2: Convert to fraction form
    192,461,522/278,073,723 = 278,073,723/x
  3. Step 3: Cross multiply
    192,461,522x = 278,073,723 × 278,073,723
  4. Step 4: Simplify right side
    192,461,522x = 77,324,995,423,080,736
  5. Step 5: Solve for x
    x = 77,324,995,423,080,736/192,461,522
  6. Step 6: Final answer
    x = 401,768,595.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.