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Finding the Third Proportional to 225,134,202,939 and 342,976,385,280

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Solution

The third proportional to 225,134,202,939 and 342,976,385,280 is: 522,500,798,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,134,202,939 : 342,976,385,280 = 342,976,385,280 : x
  2. Step 2: Convert to fraction form
    225,134,202,939/342,976,385,280 = 342,976,385,280/x
  3. Step 3: Cross multiply
    225,134,202,939x = 342,976,385,280 × 342,976,385,280
  4. Step 4: Simplify right side
    225,134,202,939x = 117,632,800,859,735,006,904,320
  5. Step 5: Solve for x
    x = 117,632,800,859,735,006,904,320/225,134,202,939
  6. Step 6: Final answer
    x = 522,500,798,741.84

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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.