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Finding the Third Proportional to 46,178,454 and 100,394,749

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Solution

The third proportional to 46,178,454 and 100,394,749 is: 218,264,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178,454 : 100,394,749 = 100,394,749 : x
  2. Step 2: Convert to fraction form
    46,178,454/100,394,749 = 100,394,749/x
  3. Step 3: Cross multiply
    46,178,454x = 100,394,749 × 100,394,749
  4. Step 4: Simplify right side
    46,178,454x = 10,079,105,626,773,000
  5. Step 5: Solve for x
    x = 10,079,105,626,773,000/46,178,454
  6. Step 6: Final answer
    x = 218,264,249.96

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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.