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Finding the Third Proportional to 184,209,034 and 399,498,824

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Solution

The third proportional to 184,209,034 and 399,498,824 is: 866,403,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209,034 : 399,498,824 = 399,498,824 : x
  2. Step 2: Convert to fraction form
    184,209,034/399,498,824 = 399,498,824/x
  3. Step 3: Cross multiply
    184,209,034x = 399,498,824 × 399,498,824
  4. Step 4: Simplify right side
    184,209,034x = 159,599,310,377,382,976
  5. Step 5: Solve for x
    x = 159,599,310,377,382,976/184,209,034
  6. Step 6: Final answer
    x = 866,403,275.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.