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Finding the Third Proportional to 165,876,097.50 and 359,353,908

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Solution

The third proportional to 165,876,097.50 and 359,353,908 is: 778,504,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,876,097.50 : 359,353,908 = 359,353,908 : x
  2. Step 2: Convert to fraction form
    165,876,097.50/359,353,908 = 359,353,908/x
  3. Step 3: Cross multiply
    165,876,097.50x = 359,353,908 × 359,353,908
  4. Step 4: Simplify right side
    165,876,097.50x = 129,135,231,194,872,464
  5. Step 5: Solve for x
    x = 129,135,231,194,872,464/165,876,097.50
  6. Step 6: Final answer
    x = 778,504,155.46

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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.