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Finding the Third Proportional to 46,281,824 and 96,394,366

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Solution

The third proportional to 46,281,824 and 96,394,366 is: 200,767,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,824 : 96,394,366 = 96,394,366 : x
  2. Step 2: Convert to fraction form
    46,281,824/96,394,366 = 96,394,366/x
  3. Step 3: Cross multiply
    46,281,824x = 96,394,366 × 96,394,366
  4. Step 4: Simplify right side
    46,281,824x = 9,291,873,796,541,956
  5. Step 5: Solve for x
    x = 9,291,873,796,541,956/46,281,824
  6. Step 6: Final answer
    x = 200,767,234.16

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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.