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Finding the Third Proportional to 51,236,251.31 and 111,569,718.94

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Solution

The third proportional to 51,236,251.31 and 111,569,718.94 is: 242,949,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236,251.31 : 111,569,718.94 = 111,569,718.94 : x
  2. Step 2: Convert to fraction form
    51,236,251.31/111,569,718.94 = 111,569,718.94/x
  3. Step 3: Cross multiply
    51,236,251.31x = 111,569,718.94 × 111,569,718.94
  4. Step 4: Simplify right side
    51,236,251.31x = 12,447,802,183,792,746
  5. Step 5: Solve for x
    x = 12,447,802,183,792,746/51,236,251.31
  6. Step 6: Final answer
    x = 242,949,120.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.