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Finding the Third Proportional to 183,664,341 and 399,612,321

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Solution

The third proportional to 183,664,341 and 399,612,321 is: 869,466,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,664,341 : 399,612,321 = 399,612,321 : x
  2. Step 2: Convert to fraction form
    183,664,341/399,612,321 = 399,612,321/x
  3. Step 3: Cross multiply
    183,664,341x = 399,612,321 × 399,612,321
  4. Step 4: Simplify right side
    183,664,341x = 159,690,007,095,007,040
  5. Step 5: Solve for x
    x = 159,690,007,095,007,040/183,664,341
  6. Step 6: Final answer
    x = 869,466,583.58

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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.