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Finding the Third Proportional to 165,876,053 and 359,353,825

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Solution

The third proportional to 165,876,053 and 359,353,825 is: 778,504,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,876,053 : 359,353,825 = 359,353,825 : x
  2. Step 2: Convert to fraction form
    165,876,053/359,353,825 = 359,353,825/x
  3. Step 3: Cross multiply
    165,876,053x = 359,353,825 × 359,353,825
  4. Step 4: Simplify right side
    165,876,053x = 129,135,171,542,130,624
  5. Step 5: Solve for x
    x = 129,135,171,542,130,624/165,876,053
  6. Step 6: Final answer
    x = 778,504,004.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.