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Finding the Third Proportional to 209,723,994 and 325,627,911

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Solution

The third proportional to 209,723,994 and 325,627,911 is: 505,586,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,723,994 : 325,627,911 = 325,627,911 : x
  2. Step 2: Convert to fraction form
    209,723,994/325,627,911 = 325,627,911/x
  3. Step 3: Cross multiply
    209,723,994x = 325,627,911 × 325,627,911
  4. Step 4: Simplify right side
    209,723,994x = 106,033,536,422,223,920
  5. Step 5: Solve for x
    x = 106,033,536,422,223,920/209,723,994
  6. Step 6: Final answer
    x = 505,586,101.05

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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.