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Finding the Third Proportional to 107,751,456 and 164,317,491

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Solution

The third proportional to 107,751,456 and 164,317,491 is: 250,578,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,751,456 : 164,317,491 = 164,317,491 : x
  2. Step 2: Convert to fraction form
    107,751,456/164,317,491 = 164,317,491/x
  3. Step 3: Cross multiply
    107,751,456x = 164,317,491 × 164,317,491
  4. Step 4: Simplify right side
    107,751,456x = 27,000,237,848,535,080
  5. Step 5: Solve for x
    x = 27,000,237,848,535,080/107,751,456
  6. Step 6: Final answer
    x = 250,578,867.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.