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Finding the Third Proportional to 135,386,219 and 206,252,904

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Solution

The third proportional to 135,386,219 and 206,252,904 is: 314,214,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,386,219 : 206,252,904 = 206,252,904 : x
  2. Step 2: Convert to fraction form
    135,386,219/206,252,904 = 206,252,904/x
  3. Step 3: Cross multiply
    135,386,219x = 206,252,904 × 206,252,904
  4. Step 4: Simplify right side
    135,386,219x = 42,540,260,408,433,216
  5. Step 5: Solve for x
    x = 42,540,260,408,433,216/135,386,219
  6. Step 6: Final answer
    x = 314,214,110.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.