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Finding the Third Proportional to 153,994,576 and 342,419,768

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Solution

The third proportional to 153,994,576 and 342,419,768 is: 761,398,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994,576 : 342,419,768 = 342,419,768 : x
  2. Step 2: Convert to fraction form
    153,994,576/342,419,768 = 342,419,768/x
  3. Step 3: Cross multiply
    153,994,576x = 342,419,768 × 342,419,768
  4. Step 4: Simplify right side
    153,994,576x = 117,251,297,517,173,824
  5. Step 5: Solve for x
    x = 117,251,297,517,173,824/153,994,576
  6. Step 6: Final answer
    x = 761,398,878.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.