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Finding the Third Proportional to 51,365,718 and 106,982,988

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Solution

The third proportional to 51,365,718 and 106,982,988 is: 222,820,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,365,718 : 106,982,988 = 106,982,988 : x
  2. Step 2: Convert to fraction form
    51,365,718/106,982,988 = 106,982,988/x
  3. Step 3: Cross multiply
    51,365,718x = 106,982,988 × 106,982,988
  4. Step 4: Simplify right side
    51,365,718x = 11,445,359,721,408,144
  5. Step 5: Solve for x
    x = 11,445,359,721,408,144/51,365,718
  6. Step 6: Final answer
    x = 222,820,981.91

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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.