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Finding the Third Proportional to 260,698,259.53 and 365,367,942.84

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Solution

The third proportional to 260,698,259.53 and 365,367,942.84 is: 512,062,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698,259.53 : 365,367,942.84 = 365,367,942.84 : x
  2. Step 2: Convert to fraction form
    260,698,259.53/365,367,942.84 = 365,367,942.84/x
  3. Step 3: Cross multiply
    260,698,259.53x = 365,367,942.84 × 365,367,942.84
  4. Step 4: Simplify right side
    260,698,259.53x = 133,493,733,657,873,760
  5. Step 5: Solve for x
    x = 133,493,733,657,873,760/260,698,259.53
  6. Step 6: Final answer
    x = 512,062,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.