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Finding the Third Proportional to 51,066,140.50 and 109,305,638

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Solution

The third proportional to 51,066,140.50 and 109,305,638 is: 233,965,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066,140.50 : 109,305,638 = 109,305,638 : x
  2. Step 2: Convert to fraction form
    51,066,140.50/109,305,638 = 109,305,638/x
  3. Step 3: Cross multiply
    51,066,140.50x = 109,305,638 × 109,305,638
  4. Step 4: Simplify right side
    51,066,140.50x = 11,947,722,498,587,044
  5. Step 5: Solve for x
    x = 11,947,722,498,587,044/51,066,140.50
  6. Step 6: Final answer
    x = 233,965,644.98

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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.