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Finding the Third Proportional to 135,386,228 and 206,252,918

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Solution

The third proportional to 135,386,228 and 206,252,918 is: 314,214,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,386,228 : 206,252,918 = 206,252,918 : x
  2. Step 2: Convert to fraction form
    135,386,228/206,252,918 = 206,252,918/x
  3. Step 3: Cross multiply
    135,386,228x = 206,252,918 × 206,252,918
  4. Step 4: Simplify right side
    135,386,228x = 42,540,266,183,514,720
  5. Step 5: Solve for x
    x = 42,540,266,183,514,720/135,386,228
  6. Step 6: Final answer
    x = 314,214,132.50

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