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Finding the Third Proportional to 154,719,966 and 234,073,116

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Solution

The third proportional to 154,719,966 and 234,073,116 is: 354,125,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,719,966 : 234,073,116 = 234,073,116 : x
  2. Step 2: Convert to fraction form
    154,719,966/234,073,116 = 234,073,116/x
  3. Step 3: Cross multiply
    154,719,966x = 234,073,116 × 234,073,116
  4. Step 4: Simplify right side
    154,719,966x = 54,790,223,633,949,456
  5. Step 5: Solve for x
    x = 54,790,223,633,949,456/154,719,966
  6. Step 6: Final answer
    x = 354,125,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.