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Finding the Third Proportional to 260,147,659.50 and 383,034,825

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Solution

The third proportional to 260,147,659.50 and 383,034,825 is: 563,970,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,147,659.50 : 383,034,825 = 383,034,825 : x
  2. Step 2: Convert to fraction form
    260,147,659.50/383,034,825 = 383,034,825/x
  3. Step 3: Cross multiply
    260,147,659.50x = 383,034,825 × 383,034,825
  4. Step 4: Simplify right side
    260,147,659.50x = 146,715,677,162,780,640
  5. Step 5: Solve for x
    x = 146,715,677,162,780,640/260,147,659.50
  6. Step 6: Final answer
    x = 563,970,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.