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Finding the Third Proportional to 183,959,256 and 400,577,736

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Solution

The third proportional to 183,959,256 and 400,577,736 is: 872,272,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,959,256 : 400,577,736 = 400,577,736 : x
  2. Step 2: Convert to fraction form
    183,959,256/400,577,736 = 400,577,736/x
  3. Step 3: Cross multiply
    183,959,256x = 400,577,736 × 400,577,736
  4. Step 4: Simplify right side
    183,959,256x = 160,462,522,578,885,696
  5. Step 5: Solve for x
    x = 160,462,522,578,885,696/183,959,256
  6. Step 6: Final answer
    x = 872,272,078.44

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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.