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Finding the Third Proportional to 105,787,764 and 163,469,070

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Solution

The third proportional to 105,787,764 and 163,469,070 is: 252,601,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,787,764 : 163,469,070 = 163,469,070 : x
  2. Step 2: Convert to fraction form
    105,787,764/163,469,070 = 163,469,070/x
  3. Step 3: Cross multiply
    105,787,764x = 163,469,070 × 163,469,070
  4. Step 4: Simplify right side
    105,787,764x = 26,722,136,846,664,900
  5. Step 5: Solve for x
    x = 26,722,136,846,664,900/105,787,764
  6. Step 6: Final answer
    x = 252,601,395.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.