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Finding the Third Proportional to 230,992,018,209 and 339,568,513,850.25

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Solution

The third proportional to 230,992,018,209 and 339,568,513,850.25 is: 499,180,779,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992,018,209 : 339,568,513,850.25 = 339,568,513,850.25 : x
  2. Step 2: Convert to fraction form
    230,992,018,209/339,568,513,850.25 = 339,568,513,850.25/x
  3. Step 3: Cross multiply
    230,992,018,209x = 339,568,513,850.25 × 339,568,513,850.25
  4. Step 4: Simplify right side
    230,992,018,209x = 115,306,775,598,467,431,530,496
  5. Step 5: Solve for x
    x = 115,306,775,598,467,431,530,496/230,992,018,209
  6. Step 6: Final answer
    x = 499,180,779,026.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.