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Finding the Third Proportional to 50,994,511.88 and 109,265,198.06

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Solution

The third proportional to 50,994,511.88 and 109,265,198.06 is: 234,120,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994,511.88 : 109,265,198.06 = 109,265,198.06 : x
  2. Step 2: Convert to fraction form
    50,994,511.88/109,265,198.06 = 109,265,198.06/x
  3. Step 3: Cross multiply
    50,994,511.88x = 109,265,198.06 × 109,265,198.06
  4. Step 4: Simplify right side
    50,994,511.88x = 11,938,883,507,637,354
  5. Step 5: Solve for x
    x = 11,938,883,507,637,354/50,994,511.88
  6. Step 6: Final answer
    x = 234,120,948.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.