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Finding the Third Proportional to 191,054,162 and 416,694,541

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Solution

The third proportional to 191,054,162 and 416,694,541 is: 908,822,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,054,162 : 416,694,541 = 416,694,541 : x
  2. Step 2: Convert to fraction form
    191,054,162/416,694,541 = 416,694,541/x
  3. Step 3: Cross multiply
    191,054,162x = 416,694,541 × 416,694,541
  4. Step 4: Simplify right side
    191,054,162x = 173,634,340,499,200,672
  5. Step 5: Solve for x
    x = 173,634,340,499,200,672/191,054,162
  6. Step 6: Final answer
    x = 908,822,601.31

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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.