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Finding the Third Proportional to 51,309,312 and 106,864,320

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Solution

The third proportional to 51,309,312 and 106,864,320 is: 222,571,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309,312 : 106,864,320 = 106,864,320 : x
  2. Step 2: Convert to fraction form
    51,309,312/106,864,320 = 106,864,320/x
  3. Step 3: Cross multiply
    51,309,312x = 106,864,320 × 106,864,320
  4. Step 4: Simplify right side
    51,309,312x = 11,419,982,889,062,400
  5. Step 5: Solve for x
    x = 11,419,982,889,062,400/51,309,312
  6. Step 6: Final answer
    x = 222,571,350.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.