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Finding the Third Proportional to 107,231,346 and 165,699,739.13

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Solution

The third proportional to 107,231,346 and 165,699,739.13 is: 256,048,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,231,346 : 165,699,739.13 = 165,699,739.13 : x
  2. Step 2: Convert to fraction form
    107,231,346/165,699,739.13 = 165,699,739.13/x
  3. Step 3: Cross multiply
    107,231,346x = 165,699,739.13 × 165,699,739.13
  4. Step 4: Simplify right side
    107,231,346x = 27,456,403,546,093,056
  5. Step 5: Solve for x
    x = 27,456,403,546,093,056/107,231,346
  6. Step 6: Final answer
    x = 256,048,297.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.