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Finding the Third Proportional to 80,985,739.50 and 174,261,676.50

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Solution

The third proportional to 80,985,739.50 and 174,261,676.50 is: 374,968,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,985,739.50 : 174,261,676.50 = 174,261,676.50 : x
  2. Step 2: Convert to fraction form
    80,985,739.50/174,261,676.50 = 174,261,676.50/x
  3. Step 3: Cross multiply
    80,985,739.50x = 174,261,676.50 × 174,261,676.50
  4. Step 4: Simplify right side
    80,985,739.50x = 30,367,131,896,590,652
  5. Step 5: Solve for x
    x = 30,367,131,896,590,652/80,985,739.50
  6. Step 6: Final answer
    x = 374,968,878.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.