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Finding the Third Proportional to 154,310,181 and 235,082,910

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Solution

The third proportional to 154,310,181 and 235,082,910 is: 358,135,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,310,181 : 235,082,910 = 235,082,910 : x
  2. Step 2: Convert to fraction form
    154,310,181/235,082,910 = 235,082,910/x
  3. Step 3: Cross multiply
    154,310,181x = 235,082,910 × 235,082,910
  4. Step 4: Simplify right side
    154,310,181x = 55,263,974,574,068,096
  5. Step 5: Solve for x
    x = 55,263,974,574,068,096/154,310,181
  6. Step 6: Final answer
    x = 358,135,634.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.