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Finding the Third Proportional to 225,134,202,933 and 342,976,385,274

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Solution

The third proportional to 225,134,202,933 and 342,976,385,274 is: 522,500,798,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,134,202,933 : 342,976,385,274 = 342,976,385,274 : x
  2. Step 2: Convert to fraction form
    225,134,202,933/342,976,385,274 = 342,976,385,274/x
  3. Step 3: Cross multiply
    225,134,202,933x = 342,976,385,274 × 342,976,385,274
  4. Step 4: Simplify right side
    225,134,202,933x = 117,632,800,855,619,287,384,064
  5. Step 5: Solve for x
    x = 117,632,800,855,619,287,384,064/225,134,202,933
  6. Step 6: Final answer
    x = 522,500,798,737.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.