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Finding the Third Proportional to 174,581,751 and 262,601,505.50

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Solution

The third proportional to 174,581,751 and 262,601,505.50 is: 394,998,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,581,751 : 262,601,505.50 = 262,601,505.50 : x
  2. Step 2: Convert to fraction form
    174,581,751/262,601,505.50 = 262,601,505.50/x
  3. Step 3: Cross multiply
    174,581,751x = 262,601,505.50 × 262,601,505.50
  4. Step 4: Simplify right side
    174,581,751x = 68,959,550,690,866,528
  5. Step 5: Solve for x
    x = 68,959,550,690,866,528/174,581,751
  6. Step 6: Final answer
    x = 394,998,619.82

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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.