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Finding the Third Proportional to 123,370,184 and 274,324,181

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Solution

The third proportional to 123,370,184 and 274,324,181 is: 609,983,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,370,184 : 274,324,181 = 274,324,181 : x
  2. Step 2: Convert to fraction form
    123,370,184/274,324,181 = 274,324,181/x
  3. Step 3: Cross multiply
    123,370,184x = 274,324,181 × 274,324,181
  4. Step 4: Simplify right side
    123,370,184x = 75,253,756,281,320,768
  5. Step 5: Solve for x
    x = 75,253,756,281,320,768/123,370,184
  6. Step 6: Final answer
    x = 609,983,335.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.