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Finding the Third Proportional to 104,999,728 and 164,338,592

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Solution

The third proportional to 104,999,728 and 164,338,592 is: 257,211,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,999,728 : 164,338,592 = 164,338,592 : x
  2. Step 2: Convert to fraction form
    104,999,728/164,338,592 = 164,338,592/x
  3. Step 3: Cross multiply
    104,999,728x = 164,338,592 × 164,338,592
  4. Step 4: Simplify right side
    104,999,728x = 27,007,172,820,542,464
  5. Step 5: Solve for x
    x = 27,007,172,820,542,464/104,999,728
  6. Step 6: Final answer
    x = 257,211,836.02

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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.