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Finding the Third Proportional to 184,209,036 and 399,498,828

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Solution

The third proportional to 184,209,036 and 399,498,828 is: 866,403,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209,036 : 399,498,828 = 399,498,828 : x
  2. Step 2: Convert to fraction form
    184,209,036/399,498,828 = 399,498,828/x
  3. Step 3: Cross multiply
    184,209,036x = 399,498,828 × 399,498,828
  4. Step 4: Simplify right side
    184,209,036x = 159,599,313,573,373,568
  5. Step 5: Solve for x
    x = 159,599,313,573,373,568/184,209,036
  6. Step 6: Final answer
    x = 866,403,283.13

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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.