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Finding the Third Proportional to 51,439,846 and 110,956,157

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Solution

The third proportional to 51,439,846 and 110,956,157 is: 239,333,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,439,846 : 110,956,157 = 110,956,157 : x
  2. Step 2: Convert to fraction form
    51,439,846/110,956,157 = 110,956,157/x
  3. Step 3: Cross multiply
    51,439,846x = 110,956,157 × 110,956,157
  4. Step 4: Simplify right side
    51,439,846x = 12,311,268,776,208,648
  5. Step 5: Solve for x
    x = 12,311,268,776,208,648/51,439,846
  6. Step 6: Final answer
    x = 239,333,313.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.