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Finding the Third Proportional to 183,664,400.50 and 399,612,425

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Solution

The third proportional to 183,664,400.50 and 399,612,425 is: 869,466,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,664,400.50 : 399,612,425 = 399,612,425 : x
  2. Step 2: Convert to fraction form
    183,664,400.50/399,612,425 = 399,612,425/x
  3. Step 3: Cross multiply
    183,664,400.50x = 399,612,425 × 399,612,425
  4. Step 4: Simplify right side
    183,664,400.50x = 159,690,090,214,380,640
  5. Step 5: Solve for x
    x = 159,690,090,214,380,640/183,664,400.50
  6. Step 6: Final answer
    x = 869,466,754.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.