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Finding the Third Proportional to 141,189,788 and 206,366,253

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Solution

The third proportional to 141,189,788 and 206,366,253 is: 301,629,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,189,788 : 206,366,253 = 206,366,253 : x
  2. Step 2: Convert to fraction form
    141,189,788/206,366,253 = 206,366,253/x
  3. Step 3: Cross multiply
    141,189,788x = 206,366,253 × 206,366,253
  4. Step 4: Simplify right side
    141,189,788x = 42,587,030,377,260,008
  5. Step 5: Solve for x
    x = 42,587,030,377,260,008/141,189,788
  6. Step 6: Final answer
    x = 301,629,678.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.