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Finding the Third Proportional to 95,632,826,260 and 209,280,780,728

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Solution

The third proportional to 95,632,826,260 and 209,280,780,728 is: 457,985,473,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632,826,260 : 209,280,780,728 = 209,280,780,728 : x
  2. Step 2: Convert to fraction form
    95,632,826,260/209,280,780,728 = 209,280,780,728/x
  3. Step 3: Cross multiply
    95,632,826,260x = 209,280,780,728 × 209,280,780,728
  4. Step 4: Simplify right side
    95,632,826,260x = 43,798,445,182,121,215,524,864
  5. Step 5: Solve for x
    x = 43,798,445,182,121,215,524,864/95,632,826,260
  6. Step 6: Final answer
    x = 457,985,473,137.07

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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.