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Finding the Third Proportional to 193,956,855 and 290,651,563

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Solution

The third proportional to 193,956,855 and 290,651,563 is: 435,552,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,956,855 : 290,651,563 = 290,651,563 : x
  2. Step 2: Convert to fraction form
    193,956,855/290,651,563 = 290,651,563/x
  3. Step 3: Cross multiply
    193,956,855x = 290,651,563 × 290,651,563
  4. Step 4: Simplify right side
    193,956,855x = 84,478,331,074,342,976
  5. Step 5: Solve for x
    x = 84,478,331,074,342,976/193,956,855
  6. Step 6: Final answer
    x = 435,552,180.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.