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Finding the Third Proportional to 182,688,840 and 263,953,824

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Solution

The third proportional to 182,688,840 and 263,953,824 is: 381,367,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,688,840 : 263,953,824 = 263,953,824 : x
  2. Step 2: Convert to fraction form
    182,688,840/263,953,824 = 263,953,824/x
  3. Step 3: Cross multiply
    182,688,840x = 263,953,824 × 263,953,824
  4. Step 4: Simplify right side
    182,688,840x = 69,671,621,204,222,976
  5. Step 5: Solve for x
    x = 69,671,621,204,222,976/182,688,840
  6. Step 6: Final answer
    x = 381,367,691.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.