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Finding the Third Proportional to 46,281,831 and 96,394,380

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Solution

The third proportional to 46,281,831 and 96,394,380 is: 200,767,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,831 : 96,394,380 = 96,394,380 : x
  2. Step 2: Convert to fraction form
    46,281,831/96,394,380 = 96,394,380/x
  3. Step 3: Cross multiply
    46,281,831x = 96,394,380 × 96,394,380
  4. Step 4: Simplify right side
    46,281,831x = 9,291,876,495,584,400
  5. Step 5: Solve for x
    x = 9,291,876,495,584,400/46,281,831
  6. Step 6: Final answer
    x = 200,767,262.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.