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Finding the Third Proportional to 209,723,991 and 325,627,908

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Solution

The third proportional to 209,723,991 and 325,627,908 is: 505,586,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,723,991 : 325,627,908 = 325,627,908 : x
  2. Step 2: Convert to fraction form
    209,723,991/325,627,908 = 325,627,908/x
  3. Step 3: Cross multiply
    209,723,991x = 325,627,908 × 325,627,908
  4. Step 4: Simplify right side
    209,723,991x = 106,033,534,468,456,464
  5. Step 5: Solve for x
    x = 106,033,534,468,456,464/209,723,991
  6. Step 6: Final answer
    x = 505,586,098.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.