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Finding the Third Proportional to 69,902,032 and 153,240,992

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Solution

The third proportional to 69,902,032 and 153,240,992 is: 335,938,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902,032 : 153,240,992 = 153,240,992 : x
  2. Step 2: Convert to fraction form
    69,902,032/153,240,992 = 153,240,992/x
  3. Step 3: Cross multiply
    69,902,032x = 153,240,992 × 153,240,992
  4. Step 4: Simplify right side
    69,902,032x = 23,482,801,629,144,064
  5. Step 5: Solve for x
    x = 23,482,801,629,144,064/69,902,032
  6. Step 6: Final answer
    x = 335,938,755.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.