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Finding the Third Proportional to 104,999,742 and 164,338,593

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Solution

The third proportional to 104,999,742 and 164,338,593 is: 257,211,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,999,742 : 164,338,593 = 164,338,593 : x
  2. Step 2: Convert to fraction form
    104,999,742/164,338,593 = 164,338,593/x
  3. Step 3: Cross multiply
    104,999,742x = 164,338,593 × 164,338,593
  4. Step 4: Simplify right side
    104,999,742x = 27,007,173,149,219,648
  5. Step 5: Solve for x
    x = 27,007,173,149,219,648/104,999,742
  6. Step 6: Final answer
    x = 257,211,804.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.