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Finding the Third Proportional to 95,632,826,367 and 209,280,780,942

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Solution

The third proportional to 95,632,826,367 and 209,280,780,942 is: 457,985,473,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632,826,367 : 209,280,780,942 = 209,280,780,942 : x
  2. Step 2: Convert to fraction form
    95,632,826,367/209,280,780,942 = 209,280,780,942/x
  3. Step 3: Cross multiply
    95,632,826,367x = 209,280,780,942 × 209,280,780,942
  4. Step 4: Simplify right side
    95,632,826,367x = 43,798,445,271,693,387,628,544
  5. Step 5: Solve for x
    x = 43,798,445,271,693,387,628,544/95,632,826,367
  6. Step 6: Final answer
    x = 457,985,473,561.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.