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Finding the Third Proportional to 125,739,494,049 and 274,236,513,207

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Solution

The third proportional to 125,739,494,049 and 274,236,513,207 is: 598,106,949,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,739,494,049 : 274,236,513,207 = 274,236,513,207 : x
  2. Step 2: Convert to fraction form
    125,739,494,049/274,236,513,207 = 274,236,513,207/x
  3. Step 3: Cross multiply
    125,739,494,049x = 274,236,513,207 × 274,236,513,207
  4. Step 4: Simplify right side
    125,739,494,049x = 75,205,665,175,933,082,927,104
  5. Step 5: Solve for x
    x = 75,205,665,175,933,082,927,104/125,739,494,049
  6. Step 6: Final answer
    x = 598,106,949,170.85

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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.