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Finding the Third Proportional to 174,581,742 and 262,601,492

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Solution

The third proportional to 174,581,742 and 262,601,492 is: 394,998,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,581,742 : 262,601,492 = 262,601,492 : x
  2. Step 2: Convert to fraction form
    174,581,742/262,601,492 = 262,601,492/x
  3. Step 3: Cross multiply
    174,581,742x = 262,601,492 × 262,601,492
  4. Step 4: Simplify right side
    174,581,742x = 68,959,543,600,626,064
  5. Step 5: Solve for x
    x = 68,959,543,600,626,064/174,581,742
  6. Step 6: Final answer
    x = 394,998,599.57

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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.