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Finding the Third Proportional to 46,793,786 and 100,986,054

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Solution

The third proportional to 46,793,786 and 100,986,054 is: 217,938,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,786 : 100,986,054 = 100,986,054 : x
  2. Step 2: Convert to fraction form
    46,793,786/100,986,054 = 100,986,054/x
  3. Step 3: Cross multiply
    46,793,786x = 100,986,054 × 100,986,054
  4. Step 4: Simplify right side
    46,793,786x = 10,198,183,102,490,916
  5. Step 5: Solve for x
    x = 10,198,183,102,490,916/46,793,786
  6. Step 6: Final answer
    x = 217,938,832.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.