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Finding the Third Proportional to 51,150,105 and 109,577,970

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Solution

The third proportional to 51,150,105 and 109,577,970 is: 234,746,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,150,105 : 109,577,970 = 109,577,970 : x
  2. Step 2: Convert to fraction form
    51,150,105/109,577,970 = 109,577,970/x
  3. Step 3: Cross multiply
    51,150,105x = 109,577,970 × 109,577,970
  4. Step 4: Simplify right side
    51,150,105x = 12,007,331,509,320,900
  5. Step 5: Solve for x
    x = 12,007,331,509,320,900/51,150,105
  6. Step 6: Final answer
    x = 234,746,957.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.