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Finding the Third Proportional to 185,722,137 and 279,051,205.50

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Solution

The third proportional to 185,722,137 and 279,051,205.50 is: 419,279,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,722,137 : 279,051,205.50 = 279,051,205.50 : x
  2. Step 2: Convert to fraction form
    185,722,137/279,051,205.50 = 279,051,205.50/x
  3. Step 3: Cross multiply
    185,722,137x = 279,051,205.50 × 279,051,205.50
  4. Step 4: Simplify right side
    185,722,137x = 77,869,575,291,003,232
  5. Step 5: Solve for x
    x = 77,869,575,291,003,232/185,722,137
  6. Step 6: Final answer
    x = 419,279,987.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.