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Finding the Third Proportional to 76,505,843 and 165,101,787

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Solution

The third proportional to 76,505,843 and 165,101,787 is: 356,294,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505,843 : 165,101,787 = 165,101,787 : x
  2. Step 2: Convert to fraction form
    76,505,843/165,101,787 = 165,101,787/x
  3. Step 3: Cross multiply
    76,505,843x = 165,101,787 × 165,101,787
  4. Step 4: Simplify right side
    76,505,843x = 27,258,600,070,593,368
  5. Step 5: Solve for x
    x = 27,258,600,070,593,368/76,505,843
  6. Step 6: Final answer
    x = 356,294,356.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.