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Finding the Third Proportional to 125,739,494,048 and 274,236,513,205

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Solution

The third proportional to 125,739,494,048 and 274,236,513,205 is: 598,106,949,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,739,494,048 : 274,236,513,205 = 274,236,513,205 : x
  2. Step 2: Convert to fraction form
    125,739,494,048/274,236,513,205 = 274,236,513,205/x
  3. Step 3: Cross multiply
    125,739,494,048x = 274,236,513,205 × 274,236,513,205
  4. Step 4: Simplify right side
    125,739,494,048x = 75,205,665,174,836,138,213,376
  5. Step 5: Solve for x
    x = 75,205,665,174,836,138,213,376/125,739,494,048
  6. Step 6: Final answer
    x = 598,106,949,166.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.