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Finding the Third Proportional to 135,386,217 and 206,252,901

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Solution

The third proportional to 135,386,217 and 206,252,901 is: 314,214,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,386,217 : 206,252,901 = 206,252,901 : x
  2. Step 2: Convert to fraction form
    135,386,217/206,252,901 = 206,252,901/x
  3. Step 3: Cross multiply
    135,386,217x = 206,252,901 × 206,252,901
  4. Step 4: Simplify right side
    135,386,217x = 42,540,259,170,915,800
  5. Step 5: Solve for x
    x = 42,540,259,170,915,800/135,386,217
  6. Step 6: Final answer
    x = 314,214,106.23

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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.