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Finding the Third Proportional to 46,178,458 and 100,394,758

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Solution

The third proportional to 46,178,458 and 100,394,758 is: 218,264,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178,458 : 100,394,758 = 100,394,758 : x
  2. Step 2: Convert to fraction form
    46,178,458/100,394,758 = 100,394,758/x
  3. Step 3: Cross multiply
    46,178,458x = 100,394,758 × 100,394,758
  4. Step 4: Simplify right side
    46,178,458x = 10,079,107,433,878,564
  5. Step 5: Solve for x
    x = 10,079,107,433,878,564/46,178,458
  6. Step 6: Final answer
    x = 218,264,270.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.