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Finding the Third Proportional to 51,150,114 and 109,577,991

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Solution

The third proportional to 51,150,114 and 109,577,991 is: 234,747,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,150,114 : 109,577,991 = 109,577,991 : x
  2. Step 2: Convert to fraction form
    51,150,114/109,577,991 = 109,577,991/x
  3. Step 3: Cross multiply
    51,150,114x = 109,577,991 × 109,577,991
  4. Step 4: Simplify right side
    51,150,114x = 12,007,336,111,596,080
  5. Step 5: Solve for x
    x = 12,007,336,111,596,080/51,150,114
  6. Step 6: Final answer
    x = 234,747,005.87

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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.