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Finding the Third Proportional to 191,660,764 and 416,902,477

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Solution

The third proportional to 191,660,764 and 416,902,477 is: 906,850,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,660,764 : 416,902,477 = 416,902,477 : x
  2. Step 2: Convert to fraction form
    191,660,764/416,902,477 = 416,902,477/x
  3. Step 3: Cross multiply
    191,660,764x = 416,902,477 × 416,902,477
  4. Step 4: Simplify right side
    191,660,764x = 173,807,675,328,735,520
  5. Step 5: Solve for x
    x = 173,807,675,328,735,520/191,660,764
  6. Step 6: Final answer
    x = 906,850,581.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.